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21 May, 06:33

Kylie plans to repaint some classroom bookcases. She has 2/frac{3}{4}

4

3



gallons of paint. All of the bookcases are the same size and each requires / frac{2}{3}

3

2



gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

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Answers (1)
  1. 21 May, 06:59
    0
    4

    Step-by-step explanation:

    If n is the number of bookcases to be painted, the number of gallons of paint required is ...

    (2/3) n

    We want that value not to exceed 2 3/4 gallons, so we have ...

    (2/3) n ≤ 2 3/4

    n ≤ (3/2) (2 3/4) = (3/2) (2) + (3/2) (3/4)

    n ≤ 3 + 9/8 = 4 1/8

    The largest integer less than 4 1/8 is 4. Kylie can paint 4 bookcases with the available paint.
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