Question

In an office building, 42 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?

Answer 1

Let the total number of offices in the building be x.

We can represent the information provided in the question mathematically as:

`30\text{ \% of x = 42}`

Solving for x:

`\begin{gathered} (30)/(100)\text{ }*\text{ x = 42} \\ (30x)/(100)\text{ = 42} \\ \end{gathered}`

Cross-Multiply:

`\begin{gathered} 30x\text{ = 4200} \\ \text{Divide both sides by 30} \\ (30x)/(30)\text{ = }(4200)/(30) \\ x\text{ = 140} \end{gathered}`

Hence, there are 140 offices in the building.

Answer: 140 offices