Final answer:
Alex made 13 glasses of lemonade by dividing 3 1/4 quarts of lemonade by 1/4 quart per glass, resulting in 13 glasses. However, this result does not correspond with any of the provided multiple-choice options.
Step-by-step explanation:
Alex made 3 1/4 quarts of lemonade. Since each glass of lemonade contains 1/4 quart, we can determine the number of glasses of lemonade by dividing the total quarts of lemonade by the quarts per glass. Here is the calculation:
Total quarts of lemonade (÷) Quarts per glass = Number of glasses
3 1/4 (÷) 1/4 = ?
To do this, first convert the mixed number 3 1/4 into an improper fraction, which is (3 × 4) + 1 = 13/4. Then, divide this fraction by 1/4 by multiplying by its reciprocal (which is 4/1):
(13/4) × (4/1) = 13 × 1 = 13 glasses
Therefore, Alex made 13 glasses of lemonade, which is not listed in the options provided (A, B, C, D). It appears there may have been an error in the question or the options given.