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23 November, 09:55

Deandre's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Deandre $5.75 per pound, and type B coffee costs $4.25 per pound. This month, Deandre made 174 pounds of the blend, for a total cost of $880.50. How many pounds of type A coffee did he use?

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  1. 23 November, 13:28
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    Type A cost $5.75 per pound

    Type B cost $4.25 per pound.

    Set up 2 equations:

    A. + B = 174 pounds

    5.75A + 4.25B = 880.50

    Rewrite the first equation as A = 174 - B

    Replace A in the second equation:

    5.75 (174-B) + 4.25B = 880.50

    Use distributive property:

    1000.50 - 5.75B + 4.25B = 880.50

    Combine like terms:

    1000.50 - 1.5B = 880.50

    Subtract 1000.50 from both sides:

    -1.5B = - 120

    Divide both sides by - 1.5:

    B = - 120 / - 1.5

    B = 80

    They used 80 pounds of type B

    Subtract B from the total used to find type A:

    174 - 80 = 94

    They used 94 pounds of type A
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