Question

Dominic is stacking legos to make a tower. He takes a break when the tower is 4 1/2 feet tall, which is 3/8 of the height of the tower he wants to build. How tall is the tower when finished?

Answer 1

Answer:

Tower is 9 ft tall when it is finished.

Step-by-step explanation:

Given that:

Height of the tower when Dominic takes a break = $4\frac{1}{2}$ feet

The height of the tower as built by Dominic = $\frac{3}8$ of the total height

Let the total height of the tower to be built = $x$ feet

Let us have a look at the method to convert mixed fraction to a fractional number.

$a\dfrac{b}{c} = \dfrac{a\times c +b}c\\\Rightarrow 4\dfrac{1}{2} = \dfrac{4\times 2 +1}{2}=\dfrac{9}2$

As per question statement, $\frac{3}8$ of the total height is equal to $4\frac{1}{2}$ feet.

We can write the equation as:

$\dfrac{3}{8}x = \dfrac{9}{2}\\\Rightarrow x = \dfrac{9}{2}\times \dfrac{8}{3}\\\Rightarrow x = \dfrac{72}{6}\\\Rightarrow x = \bold{9\ ft}$

Therefore, tower is 9 ft tall when it is finished.