1. Set up a proportion:
* Let 'x' represent the total number of words on her list.
* The proportion is: 30 / x = 56 / 100
2. Solve for x:
* Cross-multiply: 30 * 100 = 56 * x
* Simplify: 3000 = 56x
* Divide both sides by 56: x = 3000 / 56
* Calculate: x ≈ 53.57
Answer: Linda has approximately 54 words on her list. Since you can't have a fraction of a word, we round up to the nearest whole number.