The currently rented double-occupancy apartments are 38 apartments.
Step-by-step explanation:
An apartment has rented x apartments with two occupants and 16 apartments with one occupant and the total occupants were 92, these can be written in the equation as
[tex]2x+16=92[/tex]
To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.
[tex]2x+16=92[/tex]
Subtracting 16 from both sides of the equation,
[tex]\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}[/tex]
Dividing both sides by 2, we get,
[tex]\begin{aligned}\frac{2 x}{2} &=\frac{76}{2} \\x &=38\end{aligned}[/tex]
Thus, there are 38 double-occupancy apartments are currently rented.