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?

Answer 1

`Black = 4`

`White = 16`

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 = (1)/(1 + 4) = (1)/(5)`

For White, we have:

`White = (4)/(1 + 4) = (4)/(5)`

The number of tiles for each is then calculated as:

`Black = (1)/(5) * Total`

`Black = (1)/(5) * 20`

`Black = (20)/(5)`

`Black = 4`

`White = (4)/(5) * Total`

`White = (4)/(5) * 20`

`White = (4 * 20)/(5)`

`White = (80)/(5)`

`White = 16`