Calculate Percentage: Finding Occupancy Rate in 34-Story Building with 59 Filled Units

What is the percentage of occupied apartments in a 34-story building if each floor has 7 apartments and a total of 59 apartments are occupied?

To solve this problem, we'll follow these steps:

• Step 1: Determine the total number of apartments in the building.
• Step 2: Apply the percentage formula to find the percentage of occupied apartments.
• Step 3: Compare the calculated percentage with the choices provided.

Now, let's work through each step:

Step 1: Calculate the total number of apartments.
The building has 34 floors and each floor has 7 apartments, so the total number of apartments is:
$34 \times 7 = 238$

Step 2: Use the percentage formula to find the occupancy rate.
The total number of occupied apartments is 59. So, the percentage of occupied apartments is calculated as:
$\left(\frac{59}{238}\right) \times 100$

Performing the calculation, we get:
$\left(\frac{59}{238}\right) \times 100 \approx 24.79\%$

Rounding to the nearest whole number, this is approximately $25\%$.

Step 3: Compare with choices:
The correct answer, rounding to the nearest whole number, matches choice number 2: 25%.

Therefore, the solution to the problem is $25\%$.