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 makes 30 pounds of the blend , how many pounds of each coffee did she use?
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.