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: Define the ratio

The ratio of black tiles to white tiles is \(1:4\). Let the number of black tiles be \(x\) and white tiles be \(4x\).

Step2: Set up the equation

The total number of tiles is \(x + 4x=20\). Simplify to \(5x = 20\).

Step3: Solve for \(x\)

Divide both sides by 5: \(x=\frac{20}{5}=4\). So black tiles \(x = 4\).

Step4: Find white tiles

White tiles are \(4x=4\times4 = 16\).

Answer:

white tiles: 16
black tiles: 4