Acoffee shop owner blends a gourmet brand of coffee with a cheaper brand. the gourmet coffee usually sells for $9.00 per pound. the cheaper brand sells for $7.00 per pound. how much of each type should be mixed in order to have 20 pounds of coffee that is worth $8.50 per pound?

15lbs of gourmet coffee and 5lbs of cheap coffee.

Explanation:

To solve this problem, we will use the substitution method. Step by step explanation:

1. Defining the variables:

2. Setting up the equations:

We need to find a combination of G and C that will result in 20 pounds worth $8.50 per lbs. As such, we have:

3. Solving equation 1 for any of the variables. We will go with variable G:

4. Substituting variable G in equation 2 to find C:

5. Substituting variable C in equation 1 to find the value of G:

Then, we need 15lbs of gourmet coffee and 5lbs of cheap coffee to have 20lbs of coffee worth $8.50/lbs.

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