Lucy needs to memorize words on a vocabulary list for Latin class. She has memorized 24 of the words, which is three- fourths of the list. How many words are on the list? \( \square \) words

To determine the total number of words on Lucy's vocabulary list, follow these steps: 1. **Let \( x \) be the total number of words on the list.** 2. **According to the problem, Lucy has memorized 24 words, which is three-fourths of the entire list. This can be expressed as:** \[ \frac{3}{4}x = 24 \] 3. **To find \( x \), multiply both sides of the equation by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \):** \[ x = 24 \times \frac{4}{3} \] 4. **Calculate the multiplication:** \[ x = 24 \times \frac{4}{3} = 32 \] 5. **Therefore, the total number of words on the list is:** \[ \boxed{32} \text{ words} \]