Question

Eddie 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 25 tiles in the design. How many white tiles will Eddie use?

Answer 1

Answer: :)

Explanation:

Let's start by setting up a proportion to represent the ratio of black tiles to white tiles:

1 black tile : 4 white tiles

We know that Eddie wants a total of 25 tiles in the design, so we can set up another proportion to represent the ratio of white tiles to the total number of tiles:

white tiles : 25 total tiles

To solve for the number of white tiles, we need to find the equivalent ratio of white tiles in terms of the total number of tiles. We can do this by cross-multiplying our two proportions:

1 black tile * (white tiles/4 black tiles) = white tiles/4

white tiles/25 total tiles = (white tiles/4) / (1 black tile + white tiles/4)

Simplifying this expression, we get:

white tiles/25 = (white tiles/4) / (5/4)

white tiles/25 = (1/4) * (white tiles/5)

5 * white tiles = 100

white tiles = 20

Therefore, Eddie will use 20 white tiles in his design.