Question 11

Explanation

Based on the information in the text, we can set up the mathematical equations as follows:

1. The total number of votes is $100,000$.
2. Candidate $A$ received half the votes of Candidate $B$, so $A = \frac{1}{2}B$ or $B = 2A$.
3. Candidate $C$ received $10,000$ votes.

We can calculate the votes received by Candidate $A$ using the total votes equation:

Substitute $B = 2A$ and $C = 10,000$ into the equation:

So, Candidate $A$ received $30$ thousand votes.