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
`(2)/(3)` ft tall and the finished stack of bricks is
`4(2)/(3)` ft tall.

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


`(2)/(3) x=4 (2)/(3) = (14)/(3) \\ \\ \Rightarrow x= ( (14)/(3) )/( (2)/(3) ) = (14)/(3) * (3)/(2) \\ \\ = (14)/(2) =7`

Therefore, 7 bricks will go in the stack.