Answer:
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:
- G: For gourmet coffee
- C: For cheap coffee
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:
- G + C = 20lbs
- $9.00G + $7.00C = $8.50/lbs x 20lbs
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 <em>15lbs</em> of gourmet coffee and <em>5lbs</em> of cheap coffee to have <em>20lbs</em> of coffee worth <em>$8.50/lbs.</em>