A coffee distributor needs to mix a(n) Breakfast coffee blend that normally sells for $12.00 per pound with a Queen City coffee blend that n

Question

A coffee distributor needs to mix a(n) Breakfast coffee blend that normally sells for $12.00 per pound with a Queen City coffee blend that normally sells for $14.10 per pound to create 80 pounds of a coffee that can sell for $12.92 per pound. How many pounds of each kind of coffee should they mix

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Kinsley 7 hours 2021-09-14T03:17:55+00:00 1 Answer 0

Answers ( )

  1. Ava
    0
    2021-09-14T03:18:55+00:00

    Answer:

    They should mix 49.95 pounds of Breakfast coffe and 35.05 pounds of Queen city coffe

    Step-by-step explanation:

    first we have to perform 2 equations one to represent the quantity of liters of coffee and another the price

    b =  liters of Breakfast coffe

    q =  liters of Queen city coffe

    b + q = 80

    b * 12.00 + q * 14.10 = 80 * 12.92

    we solve for b in the first equation

    b + q = 80

    b = 80 – q

    we replace b with (80 – q) in the second equation

    b * 12.00 + q * 14.10 = 80 * 12.92

    (80 – q) * 12.00 + q * 14.10 = 80 * 12.92

    960 – 12q + 14.10q = 1033.6

    -12q + 14.10q = 1033.6 – 960

    2.10q = 73.6

    q = 73.6/2.10

    q = 35.05

    we replace q with its value in the first equation

    b = 80 – q

    b = 80 – 35.05

    b = 49.95

    They should mix 49.95 pounds of Breakfast coffe and 35.05 pounds of Queen city coffe

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