Question

A coffee house sells a blended coffee that is made using a $6-per-pound grade and a $4.50 per-pound Grade. If 5 pounds of this blend costs $27, How many pounds of each type of coffee are in the mixture?

Answer 1

Answer:

• 3 lbs of $6 coffee
• 2 lbs of $4.50 coffee

Step-by-step explanation:

Let x represent the number of pounds of $6 coffee. Then the total cost of the mix is ...

  6x + 4.50(5 -x) = 27

  1.5x +22.50 = 27.00 . . . . . . simplify

  1.5x = 4.50 . . . . . . . . . . . . . . subtract 22.50

  x = 3 . . . . . . . . . . . . . . . . . . . .divide by 1.5; pounds of $6 coffee

  5 -x = 2 . . . . . . . . . . . . . . . . . pounds of $4.50 coffee

3 pounds of $6 coffee and 2 pounds of $4.50 coffee were used in the mix.