Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have tot

Question

Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have total of 20 tiles in the design. How many of each type of tile will Martin use?

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Khoii Minh 3 years 2021-08-23T06:52:05+00:00 1 Answers 99 views 0

Answers ( )

  1. trungdung22
    0
    2021-08-23T06:53:44+00:00
    Reply

    Answer:

    Black = 4

    White = 16

    Step-by-step explanation:

    Given

    Black : White = 1 : 4

    Total = 20

    Required

    Determine the number of each type used

    Convert each ratio to fraction.

    For Black, we have:

    Black = \frac{1}{1 + 4} = \frac{1}{5}

    For White, we have:

    White = \frac{4}{1 + 4} = \frac{4}{5}

    The number of tiles for each is then calculated as:

    Black = \frac{1}{5} * Total

    Black = \frac{1}{5} * 20

    Black = \frac{20}{5}

    Black = 4

    White = \frac{4}{5} * Total

    White = \frac{4}{5} * 20

    White = \frac{4 * 20}{5}

    White = \frac{80}{5}

    White = 16

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