A coffee shop owner blonde a gourmet brand of coffee with a cheaper brand. The gourmet coffee usually sells for $11.00 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 $10.50 per pound?
pounds of the gourmet coffee should be mixed with pounds of the cheaper coffee.
(Type Integers or decimale)

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aviannalynn14 aviannalynn14 · Answer 1 · 2020-10-05T16:28:31+02:00

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

Step-by-step 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 15lbs of gourmet coffee and 5lbs of cheap coffee to have 20lbs of coffee worth $8.50/lbs.