Jordan's bathroom floor has been decorated with purple and white tiles. The ratio of purple tiles to white tiles is (2x + 1):(4x + 13) If of the tiles are purple, work out the value of x.

Question

Jordan's bathroom floor has been decorated with purple and white tiles. The ratio of purple tiles to white tiles is (2x + 1):(4x + 13) If of the tiles are purple, work out the value of x.

Answer 1

Let's set up an equation using the given information:

2x + 1 : 4x + 13 = "number of purple tiles" : "number of white tiles"

We know that "of the tiles" are purple, so we can also write:

(number of purple tiles) / (number of total tiles) =

/ (note that we don't know the total number of tiles, so we'll just call it )

Combining these two equations, we get:

(2x + 1) / (2x + 1 + 4x + 13) =

Simplifying the denominator, we get:

(2x + 1) / (6x + 14) =

Cross-multiplying, we get:

(2x + 1) = (6x + 14)

Expanding the brackets, we get:

2x + 1 = 6x + 14

Subtracting 2x from both sides, we get:

1 = 4x + 14

Subtracting 14 from both sides, we get:

-13 = 4x

Dividing both sides by 4, we get:

x = -13/4

However, since x represents the number of tiles, it doesn't make sense for it to be negative. Therefore, there must have been a mistake in the question or our working.

Jordan's bathroom floor has been decorated with purple and white tiles. The ratio of purple tiles to white tiles is (2x + 1):(4x + 13) If of the tiles are purple, work out the value of x​.

Let's set up an equation using the given information:

Jordan's bathroom floor has been decorated with purple and white tiles. The ratio of purple tiles to white tiles is (2x + 1):(4x + 13) If of the tiles are purple, work out the value of x.