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.

<pre>
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

           {{{(matrix(5,1,x, kilograms, of, Kenyan, coffee))}}} + {{{(matrix(5,1,y, kilograms, of, Turkish,coffee))}}} = {{{(matrix(5,1,372, kilograms, of, mixed, coffee))}}}  


                            x + y = 372

The money equation comes from
    
         {{{(matrix(7,1,"$11", times, x,kilograms, of, Kenyan, coffee))}}} + {{{(matrix(7,1,"$15", times,y, kilograms, of, Turkish,coffee))}}} = {{{(matrix(7,1,"$14", times,372, kilograms, of, mixed, coffee))}}}  

                     $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</pre>