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18 January, 06:55

Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.25 per pound, and type B coffee costs $5.60 per pound. This month, Yolanda made 155 pounds of the blend, for a total cost of $784.30. How many pounds of type A coffee did she use?

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  1. 18 January, 07:34
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    she used type A coffee is 62 pounds

    Explanation:

    given data

    Type A coffee costs = $4.25 per pound

    type B coffee costs = $5.60 per pound

    this month Yolanda made = 155 pounds

    this month total cost = $784.30

    to find out

    How many pounds of type A coffee did she use

    solution

    we consider here that this month type A coffee used = x

    and type B coffee used = y

    so equation will be

    x + y = 155 ... 1

    and cost equation

    4.25 x + 5.60 y = 784.30 ... 2

    now from equation 1 we get y

    y = 155 - x ... 3

    put this value in equation 2

    4.25 x + 5.60 y = 784.3

    4.25 x + 5.60 (155 - x) = 784.3

    solve this equation we get

    x = 62

    so she used type A coffee is 62 pounds
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