SOLUTION: A store mixes Kenyan Coffee worth $11 per kilogram and Turkish coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each should be used to

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Question 540923: A store mixes Kenyan Coffee worth $11 per kilogram and Turkish coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each should be used to make a 372-kilogram mixture.
How many Kilograms of the Kenyan coffee should be in the mixture?_kg
How many Kilograms of the Turkish coffee should be in the mixture?_kg
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
A store mixes Kenyan Coffee worth $11 per kilogram and Turkish coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each should be used to make a 372-kilogram mixture. 
Suppose we mix x kg of the Kenyan coffee with y kg of the Turkish coffee.
Then we have two equations, a coffee equation and a money equation:

The coffee equation comes from

           %28matrix%285%2C1%2Cx%2C+kilograms%2C+of%2C+Kenyan%2C+coffee%29%29 + %28matrix%285%2C1%2Cy%2C+kilograms%2C+of%2C+Turkish%2Ccoffee%29%29 = %28matrix%285%2C1%2C372%2C+kilograms%2C+of%2C+mixed%2C+coffee%29%29  


                            x + y = 372

The money equation comes from
    
         %28matrix%287%2C1%2C%22%2411%22%2C+times%2C+x%2Ckilograms%2C+of%2C+Kenyan%2C+coffee%29%29 + %28matrix%287%2C1%2C%22%2415%22%2C+times%2Cy%2C+kilograms%2C+of%2C+Turkish%2Ccoffee%29%29 = %28matrix%287%2C1%2C%22%2414%22%2C+times%2C372%2C+kilograms%2C+of%2C+mixed%2C+coffee%29%29  

                     $11x + $15y = ($14)(372) or
                       11x + 15y = 5208

So solve this system of equations:

                          x +  y =  372
                       11x + 15y = 5208



Answer: Mix 93 kilograms of Kenyan coffee and 279 kilogramss of Turkish coffee.

Edwin