A gourmet shop owner mixes coffee worth $1.92 per pound with coffee worth $2.72 to make a blend that will sell at $2.24 per pound . If she m

Let           x  =  pounds of the coffee worth $1.92 per pound

then  30 - x  =  pounds of the coffee worth $2.72 per pound

 

   cost x amount  +  cost x amount  =  final cost x final amount

                  1.92·x  +  2.72·(30 - x)  =  2.24·(30)

                    1.92x + 81.60 - 2.72x  =  67.20

                                 81.60 - 0.80x  =  67.20

                                            -0.80x  =  -14.40

                                                    x  =  18 pounds of coffee worth $1.92 per pound

 

Now, you will need to find the number of poiunds of he coffee worth $2.72 per pound.