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.