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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MrRoyal MrRoyal · Answer 1 · 2021-01-21T05:18:18+01:00

Answer:

[tex]Black = 4[/tex]

[tex]White = 16[/tex]

Step-by-step explanation:

Given

[tex]Black : White = 1 : 4[/tex]

[tex]Total = 20[/tex]

Required

Determine the number of each type used

Convert each ratio to fraction.

For Black, we have:

[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]

For White, we have:

[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]

The number of tiles for each is then calculated as:

[tex]Black = \frac{1}{5} * Total[/tex]

[tex]Black = \frac{1}{5} * 20[/tex]

[tex]Black = \frac{20}{5}[/tex]

[tex]Black = 4[/tex]

[tex]White = \frac{4}{5} * Total[/tex]

[tex]White = \frac{4}{5} * 20[/tex]

[tex]White = \frac{4 * 20}{5}[/tex]

[tex]White = \frac{80}{5}[/tex]

[tex]White = 16[/tex]