Question

An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.
2× + 16 =92

How many double-occupancy apartments are currently rented?

Answer 1

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

$2x+16=92$

To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.

$2x+16=92$

Subtracting 16 from both sides of the equation,

$\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}$

Dividing both sides by 2, we get,

$\begin{aligned}\frac{2 x}{2} &=\frac{76}{2} \\x &=38\end{aligned}$

Thus, there are 38 double-occupancy apartments are currently rented.