Question

Alyssa is building a brick mailbox. She is going to stack bricks that are each \dfrac23 \text{ft}
​3
​
​2
​​ ftstart fraction, 2, divided by, 3, end fraction, f, t tall, and the finished stack of bricks needs to be 4\dfrac23 \text{ft}4
​3
​
​2
​​ ft4, start fraction, 2, divided by, 3, end fraction, f, t tall.
How many bricks will go in the stack?

Answer 1

Given that each of the brick is $\frac{2}{3}$ ft tall and the finished stack of bricks is $4\frac{2}{3}$ ft tall.

Let the number of bricks in the stack be x, then

$\frac{2}{3} x=4 \frac{2}{3} = \frac{14}{3} \\ \\ \Rightarrow x= \frac{ \frac{14}{3} }{ \frac{2}{3} } = \frac{14}{3} \times \frac{3}{2} \\ \\ = \frac{14}{2} =7$

Therefore, 7 bricks will go in the stack.