how do I solve this step by step

Question

A coffee distributor needs to mix a(n) House coffee blend that normally sells for $8.40 per pound with a Kona coffee blend that normally sells for $12.10 per pound to create 100 pounds of a coffee that can sell for $8.51 per pound. 

Answer 1

hi, Alice.

Ok, so you need to find out how many pounds(X) of the House blend coffee needs to be combined with

(100 - X) pounds of Kona coffee to create 100 pounds of the final coffee.

Your equation is:

8.40(X) + 12.10(100 - X) = 8.51(100)

Now, multiply:

8.40X + 1210 - 12.10X = 851

1210 - 851 = 12.10X - 8.40X

359 = 3.7X

97 = X

X = 97 pounds of House coffee blend

3 pounds of Kona coffee blend