5% of the units in an apartment building are vacant. If there are 18

empty apartments, find the total number of units in the apartment building.

1 answer

Let \( x \) represent the total number of units in the apartment building. According to the problem, 5% of the total units are vacant, which can be expressed as:

\[ 0.05x = 18 \]

To find \( x \), we can solve the equation by dividing both sides by 0.05:

\[ x = \frac{18}{0.05} \]

Calculating the right side:

\[ x = 18 \div 0.05 = 18 \times 20 = 360 \]

Therefore, the total number of units in the apartment building is

\[ \boxed{360} \]