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. $$29 = 2 - \frac{1}{4}n$$
Difference Equation 033D74
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