Keiko’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee cost

Question

Keiko’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month’s blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

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Minh Khuê 4 years 2021-08-21T04:56:24+00:00 1 Answers 49 views 0

Answers ( )

  1. ThanhThu
    0
    2021-08-21T04:57:24+00:00
    Reply

    Answer:

    39 pounds of type A coffee were used.

    Step-by-step explanation:

    Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

    To find: How many pounds of type A coffee were used.

    Let x be the number of pounds of type A coffee and y be the number of pounds of type B coffee.

    Then, according to question,

    4.15x+5.25y=980.85 and y=4x

    Substituting y=4x in 4.15x+5.25y=980.85, we get

    4.15x+5.25(4x)=980.85

    ⇒4.15x+21x=980.85

    ⇒25.15x=980.85

    ⇒x=\frac{980.85}{25.15}

    ⇒x=39

    Therefore, 39 pounds of type A coffee were used.

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