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25 May, 10:13

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?

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  1. 25 May, 11:03
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    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
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