The average capacity of 6 server storage drives is 30 GB. If a 7th drive with a capacity of 44 GB is added to the system, what is the new average capacity of the drives?

The correct option is 32 GB.

Step-by-step explanation:

Step 1: Calculate the total capacity of the initial 6 drives.
The formula for average is:

$\text{Average}=\frac{\text{Total Capacity}}{\text{Number of Drives}}$

Given that the average capacity of 6 drives is 30 GB, the sum of their capacities is:

$\text{Initial Total Capacity}=6\times 30=180\text{GB}$

Step 2: Find the new total capacity after adding the 7th drive.
A 7th drive with a capacity of 44 GB is added to the system. The updated sum of all capacities is:

$\text{New Total Capacity}=180+44=224\text{GB}$

Step 3: Calculate the new average capacity.
The total number of drives in the system is now 7. Divide the new total capacity by the total number of drives:

$\text{New Average Capacity}=\frac{224}{7}=32\text{GB}$

Thus, the new average capacity of the drives is 32 GB.