Since there are 12 floors in total, half of the floors have 12/2 = 6 floors with 6 apartments each.
And the other half of the floors have 12/2 = 6 floors with 5 apartments each.
So, the total number of apartments in the block is 6 floors x 6 apartments/floor + 6 floors x 5 apartments/floor = 36 + 30 = 66 apartments.
If each apartment can accommodate a maximum of 4 residents, then the maximum number of residents in the block is 66 apartments x 4 residents/apartment = 264 residents.
#### 264
The answer is: 264
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
In the city, there is a block of flats. This block has 12 floors. Half of the floors have 6 apartments and the other half have 5 apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats?

### Answer:
