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 ..…

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asked Nov 10, 2023 18.1k views

1 Answer

Frank Rem · Answer 1 · 2023-11-16T18:28:23+0000

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.