Final answer:
To determine the number of days Zoey needs to feed hay to her cows, we divide the weight of a roll of hay by the daily hay consumption per cow. The calculation leads to a total of 60 days. However, the question specifically asks for the number of days without considering weekends, so the correct answer is 120 days.
Step-by-step explanation:
To calculate the number of days Zoey needs to feed hay, we need to determine the total amount of hay she needs and divide it by the daily hay consumption of her cows. Each cow needs 15 pounds of hay per day, so the total amount of hay needed is 20 cows * 15 pounds/cow * number of days. We need to find the number of days where this equation is equal to the weight of a roll of hay. The weight of a roll of hay is 900 pounds, so the equation becomes: 20 cows * 15 pounds/cow * number of days = 900 pounds. Solving for number of days gives us:
number of days = 900 pounds / (20 cows * 15 pounds/cow)
number of days = 900 / (20 * 15)
number of days = 3
Therefore, Zoey needs to feed hay for 3 days. Since each cow needs to be fed hay every day, the total number of days Zoey needs to feed hay is 3 * 20 cows = 60 days. However, the question is asking for the number of days she needs to feed hay without considering weekends, so the correct answer is D. 120 days.