Subjects algebra

Difference Equation 033D74

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1. The problem states: "Twenty-nine is equal to the difference between two and one fourth of a number." We need to translate this sentence into an equation. 2. Let the number be represented by $n$. 3. "One fourth of a number" is written as $\frac{1}{4}n$. 4. "The difference between two and one fourth of a number" means subtracting $\frac{1}{4}n$ from 2, which is $2 - \frac{1}{4}n$. 5. The sentence says "Twenty-nine is equal to" this difference, so the equation is: $$29 = 2 - \frac{1}{4}n$$ 6. Comparing this with the options, option D matches exactly. Final answer: D. $$29 = 2 - \frac{1}{4}n$$