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25 August, 18:15

Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $5.45 per pound, and type B coffee costs $4.30 per pound. This month, Rita made 177 pounds of the blend, for a total cost of $872.65. How many pounds of type A coffee did she use?

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  1. 25 August, 21:35
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    She used 97 pounds of type A coffee.

    Explanation:

    let they made X pounds of A coffee

    that means they made (177 - X) pounds of B coffee

    cost of coffee A = $5.45X

    cost of coffee B = (177 - X) * $4.30

    total cost = 5.45X + (177 - X) * $4.30

    = $872.65

    $5.45X + (177 - X) * $4.30 = $872.65

    $5.45X + $761.1 - $4.30X = $872.65

    $1.15X = 111.55

    X = 97

    Therefore, she used 97 pounds of type A coffee.
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