Final answer:
Dylan drank a combined total of 2 7/12 glasses of water today after adding 1/4, 1/3, and 2 full glasses. However, since none of the given answer choices match this total, there might be a discrepancy in the options provided.
Step-by-step explanation:
The student's question asks how much water Dylan drank today, given that he drank 1/4 of a glass for breakfast, 1/3 for lunch, and 2 glasses for dinner. To answer this question, we need to find the combined amount of water consumed in each of these servings. First, we add the fractions for breakfast and lunch:
1/4 + 1/3 = 3/12 + 4/12 = 7/12
Dylan drank 7/12 of a glass of water for breakfast and lunch. For dinner, he drank 2 full glasses. Therefore, we add:
7/12 + 2 = 7/12 + 24/12 = 31/12
When converted to a mixed number, 31/12 is 2 5/12 glasses of water. However, the options provided for the answer don't include this number, so we must have made a mistake. Let's double-check our addition:
7/12 + 2 = 7/12 + 24/12 = 31/12 or 2 7/12 glasses
Thus, Option B, 5/6 glasses, is the closest to our corrected calculation and likely reflects a simplification that we missed or an error in the provided options by the questioner. In reality, Dylan drank more than any of the answer choices provided.