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

Answer:

600

Step-by-step explanation:

Let's consider this question using algebra.

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

We are told that $\frac{3}{4}$ of the bricks are used for a project, meaning that $\frac{3}{4} x$ has been used, leaving us with $\frac{1}{4}x$ as our remainder.

Then, we are told that $\frac{2}{3}$ of the remainder are used to leave us with 50 bricks. This means that $\frac{1}{3}$ 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 $\frac{1}{3}$ of the remainder is equal to 50.

So, we know that the remainder is 150, and we also know that the remainder is $\frac{1}{4} x$. Let's now use these to form an equation.

$\frac{1}{4} x = 150$

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.