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A field of grass feeds 28 cows for 6 days. How long would the same field feed 21 cows?

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Final answer:

Using the concept of cow-days, we determine that a field of grass that feeds 28 cows for 6 days can feed 21 cows for 8 days.

Step-by-step explanation:

If a field of grass feeds 28 cows for 6 days, we can determine how long the same field would feed 21 cows using a simple ratio. We need to find the total number of cow-days that the field can support, which is the product of the number of cows and the number of days. For 28 cows, the field lasts 6 days, so the total cow-days is 28 cows × 6 days = 168 cow-days.

Next, we divide the total cow-days by the number of cows we want to feed, in this case, 21 cows. It gives us 168 cow-days ÷ 21 cows = 8 days. So, the field would feed 21 cows for 8 days.

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