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14 December, 20:28

Karen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Karen $5.50 per pound, and type B coffee costs $4.25 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $584.00. How many pounds of type A coffee were used?

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  1. 14 December, 20:52
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    32 lb

    Step-by-step explanation:

    Let a = number of pounds of type A coffee used.

    Let b = number of pounds of type B coffee used.

    From the statement:

    "This month's blend used three times as many pounds of type B coffee as type A"

    we get this equation:

    b = 3a

    "Type A coffee costs Karen $5.50 per pound, and type B coffee costs $4.25 per pound."

    She spend (in dollars) 5.50a + 4.25b, but since b = 3a, we get

    5.5a + 4.25 (3a) = 5.5a + 12.75a.

    She spent $584, so

    5.5a + 12.75a = 584

    18.25a = 584

    a = 32

    She used 32 lb of type A coffee.
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