Could you help me with an algebra question?

Question

To help sell more of a lower grade meat, a butcher mixes some premium ground beef worth $3.10/lb with 8lb of lower grade ground bee worth $2.05/lb. If the result was an intermediate grade of ground beef worth $2.68/lb, how much premium ground beef was used?

Answer 1

Let x = number of pounds  of premium beef

Then, the number of pounds of the mixture is x + 8

 

3.10x + 2.05(8) = 2.68(x+8)

 

3.10x + 16.40 = 2.68x + 21.44

 

             0.42x = 5.04

 

                    x = 12 pounds