Half of the singers sang in the first verse, so there were 30/2 = 15 singers.
A third of the remaining singers joined in the second verse, so there were 15/3 = 5 singers.
In the final third verse, the whole choir sang together, so there were 30 singers.
Therefore, 30 - 15 - 5 = 10 singers joined in the final third verse.
#### 10
The answer is: 10
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If there were initially 30 singers in the choir and only half of them sang in the first verse, and then a third of the remaining singers joined in the second verse, how many people joined in the final third verse when the whole choir sang together?

### Answer:
