How much space is the middle shelf on?

Question

Jordan wants to adjust the shelves in his bookcase so that there is twice as much space on the bottom shelf as on the top shelf, and one and a half times more space on the middle shelf as on the top shelf. If the total height of the bookcase is 0.9 meter, how much space is the middle shelf on?

Answer 1

Let the amount of space at the top be x.
The amount of space at the bottom will thus be 2x, and the amount of space in the middle will be 1.5x

We have:

0.9 = x + 2x + 1.5x
4.5x = 0.9
x = 0.2

The middle shelf have 1.5x = 1.5(0.2) = 0.3m space