Hi,         

Let x and (288k - x)represent the amount of $12 and $10 coffee respectively

Mixing to form $11 mixture***

  $12x + $10(288k - x) = $11*288k

Solving for x

    2x = 288k

     x = 144k, aount of $12 coffee,  144k also the amount of $10 coffee

CHECKING Our Answer

  $12/k*144k + $10/k*144k = $1712 + $1440 =  $3168 = $11/k*288k 

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