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21 February, 03:12

T a linen sale Mrs. Earle bought twice as many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased?

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  1. 21 February, 03:21
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    For this case, the first thing we must do is define variables:

    x: number of pillowcases

    y: number of sheets

    We now write the system of equations:

    2x + 5y = 40

    x = 2y

    Solving the system we have:

    x = 8.9

    y = 4.4

    Answer:

    The maximum number of pillowcases she could have purchased is:

    x = 8 (spent less than $ 40)
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