# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-6/2

Exercises: Try Out - Set 6: Real exam simulation to sharpen your skills and build confidence. - Problem 2

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## Exercise 2

### Question

export const metadata = {
  title: "Problem 2",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

A piece of wood weighs <InlineMath math="90" /> grams. After being dried in the sun, it weighs <InlineMath math="60" /> grams. What is the percentage of water content in the wet wood?


### Choices

- [ ] $$80\%$$
- [ ] $$40\%$$
- [x] $$33\frac{1}{3}\%$$
- [ ] $$25\%$$
- [ ] $$20\%$$

### Answer & Explanation

export const metadata = {
  title: "Problem 2 Solution",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

Given:

- Initial weight (wet wood) = <InlineMath math="90" /> grams.
- Final weight (dry wood) = <InlineMath math="60" /> grams.

The water content in the wood is the difference between the initial weight and the final weight:

<MathContainer>
  <BlockMath math="\text{Water Weight} = 90 - 60 = 30 \text{ grams}" />
</MathContainer>

The percentage of water content is calculated relative to the initial weight (wet wood):

<MathContainer>
  <BlockMath math="\text{Percentage} = \frac{\text{Water Weight}}{\text{Initial Weight}} \times 100\%" />
  <BlockMath math="= \frac{30}{90} \times 100\%" />
  <BlockMath math="= \frac{1}{3} \times 100\%" />
  <BlockMath math="= 33\frac{1}{3}\%" />
</MathContainer>

Therefore, the water content in the wet wood is <InlineMath math="33\frac{1}{3}\%" />.


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