Question

In an office building, 75 offices are currently being related. This represents 60% percent of the total units. How many offices are there in the building? There are ... offices in the building

Answer 1

Let the total number of offices be x.

We know that 75 offices are being renovated and that this number is 60% of the total.

Representing the information mathematically:

`60\text{ \% of x = 75}`

Simplifying and solving for x:

`\begin{gathered} (60)/(100)\text{ }*\text{ x = 75} \\ (60x)/(100)\text{ = 75} \\ \text{Cross}-\text{Multiply} \\ 60x\text{ = 7500} \\ \text{Divide both sides by 60} \\ (60x)/(60)\text{ = }(7500)/(60) \\ x\text{ = 125} \end{gathered}`

Answer: There are 125 offices in the building.