# Nakafa Learning Content

> For AI agents: use [llms.txt](https://nakafa.com/llms.txt) for the site index. Markdown versions are available by appending `.md` to content URLs or sending `Accept: text/markdown`.

URL: https://nakafa.com/en/exercises/high-school/snbt/general-reasoning/try-out/2026/set-9/12

Exercises: Try Out 2026 - Set 9: Real exam simulation to sharpen your skills and build confidence. - Question 12

---

## Exercise 12

### Question

export const metadata = {
  title: "Question 12",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/30/2026",
};

City <InlineMath math="X" /> held a direct mayoral election participated by one hundred thousand residents. Candidate <InlineMath math="A" /> received half the votes received by Candidate <InlineMath math="B" />. Meanwhile, Candidate <InlineMath math="C" /> only received ten thousand votes.

How many votes did Candidate <InlineMath math="B" /> receive?


### Choices

- [ ] $$10$$ thousand
- [ ] $$30$$ thousand
- [ ] $$50$$ thousand
- [x] $$60$$ thousand
- [ ] $$80$$ thousand

### Answer & Explanation

export const metadata = {
  title: "Explanation for Question 12",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/30/2026",
};

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

1.  The total number of votes is <InlineMath math="100{,}000" />.
2.  Candidate <InlineMath math="A" /> received half the votes of Candidate <InlineMath math="B" />, so <InlineMath math="A = \frac{1}{2}B" />.
3.  Candidate <InlineMath math="C" /> received <InlineMath math="10{,}000" /> votes.

We can calculate the votes received by Candidate <InlineMath math="B" /> using the total votes equation:

<MathContainer>
  <BlockMath math="A + B + C = 100{,}000" />
</MathContainer>

Substitute <InlineMath math="A = \frac{1}{2}B" /> and <InlineMath math="C = 10{,}000" /> into the equation:

<MathContainer>
  <BlockMath math="\frac{1}{2}B + B + 10{,}000 = 100{,}000" />
  <BlockMath math="\frac{3}{2}B = 100{,}000 - 10{,}000" />
  <BlockMath math="\frac{3}{2}B = 90{,}000" />
  <BlockMath math="B = 90{,}000 \times \frac{2}{3}" />
  <BlockMath math="B = 60{,}000" />
</MathContainer>

> So, Candidate <InlineMath math="B" /> received **<InlineMath math="60" /> thousand** votes.


---