Question

A coffee distributor needs to mix a(n) Breakfast coffee blend that normally sells for $9.40 per pound with a Gazebo coffee blend that normally sells for $14.10 per pound to create 40 pounds of a coffee that can sell for $10.46 per pound. How many pounds of each kind of coffee should they mix?

Answer 1

Answer:

Rounding to the next whole number, the coffee distributor should mix 31 pounds of Breakfast coffee blend and 9 pounds of Gazebo coffee blend

Step-by-step explanation:

1. This is the information given to us to answer the question correctly:

Breakfast coffee blend price = $ 9.40

Gazebo coffee blend price = $ 14.10

Mixed coffee blend price = $ 10.46

Pounds of Breakfast coffee blend = x

Pounds of Gazebo coffee blend = 40 - x

2. How many pounds of each kind of coffee should they mix?

Let's answer the question, using the following equation to solve for x:

9.40x + 14.10 (40 - x) = 10.46 (40)

9.4x - 14.1x + 564 = 418.4

- 4.7x = 418.4 - 564

- 4.7x = - 145.6

x = -145.6/-4.7

x = 30.98 ≅ 31 ⇒ 40 - x = 9

Rounding to the next whole number, the coffee distributor should mix 31 pounds of Breakfast coffee blend and 9 pounds of Gazebo coffee blend