Question

three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?​

Answer 1

600

Explanation:

Let's consider this question using algebra.

Imagine the number of bricks in the original pile is
`x`.

We are told that
`(3)/(4)` of the bricks are used for a project, meaning that
`(3)/(4) x` has been used, leaving us with
`(1)/(4)x` as our remainder.

Then, we are told that
`(2)/(3)` of the remainder are used to leave us with 50 bricks. This means that
`(1)/(3)` of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that
`(1)/(3)` of the remainder is equal to 50.

So, we know that the remainder is 150, and we also know that the remainder is
`(1)/(4) x`. Let's now use these to form an equation.

`(1)/(4) x = 150`

Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.

`x = 150 * 4 = 600`

So, there were 600 bricks in the original pile.