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 \\ (40)/(100)\cdot x=42 \\ 0.40\cdot x=42 \\ x=(42)/(0.40) \\ x=105 \end{gathered}`

Therefore, there are 105 offices in the building.