Question

This is ratio math.In an office building, 42 offices are currently being rented. This represents 40% of the total units. How many offices are there in the building? There are ... offices in the building

Answer 1

In an office building, 42 offices are currently being rented.

This represents 40% of the total units.

Let x be the total number of offices.

Then we can write

$\begin{gathered} 40\%\; of\; x=42 \\ \frac{40}{100}\cdot x=42 \\ 0.40\cdot x=42 \\ x=\frac{42}{0.40} \\ x=105 \end{gathered}$

Therefore, there are 105 offices in the building.