Question

martin is laying out tiles to make a design. he will use 1 black tile for every 4 white tiles to have a total of 20 tiles in the design. how many of each color tile will martin use? enter the answers. white tiles
black tiles

Explanation:

Step1: Determine the ratio of black to white tiles

The ratio of black tiles to white tiles is \(1:4\). So the total number of parts in the ratio is \(1 + 4=5\) parts.

Step2: Find the number of tiles per part

The total number of tiles is \(20\). To find the number of tiles per part, we divide the total number of tiles by the total number of parts: \(\frac{20}{5} = 4\) tiles per part.

Step3: Calculate the number of white tiles

Since white tiles are \(4\) parts, the number of white tiles is \(4\times4 = 16\).

Step4: Calculate the number of black tiles

Since black tiles are \(1\) part, the number of black tiles is \(1\times4=4\).

Answer:

white tiles: \(16\)
black tiles: \(4\)