Problema Solution
Frank's Specialty Coffees makes a house blend from two types of coffee beans, one selling for $9.05 per pound, and the other selling for $6.25 per pound. His house blend sells for $7.37 per pound. If he is using 9 lbs. of the $6.25/lb. beans, how many pounds of the $9.05/lb. beans does he need to make his house blend?
Answer provided by our tutors
Call the amount of $9.05/lb coffee needed X.
9.05X + 6.25(9) = 7.37(X + 9)
9.05X + 56.25 = 7.37X + 66.33. Subtract 56.25 from both sides of the equation.
9.05X = 7.37X + 10.08. Subtract 7.37X from both sides.
1.68X = 10.08. Divide both sides by 1.68.
X = 6 pounds of $9.05 per pound coffee. Answer.