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Question 788255: If it takes 20 cows 30 days to graze a field and 30 cows 15 days to graze a field how long will it take 40 cows! also how many cows could graze the field for an infinite number of days?
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! These are two different rates forming the beginning of a pattern, but we really need one or two more rates to use and help analyze the pattern; otherwise, this description is inconclusive.
Check this: 20 cows for 30 days; and then added 10 cows and subtracted 15 days. What would be next? Add 10 more cows and subtract 15 more days? That would be zero days.
Next check this: 20 cows for 30 days; and then add 10 cows and divide days by 2 to get 15 days. What would be next? Add 10 more days, and divide 15 by 2 giving 7.5 days? Maybe.
Next check this: 20 cows for 30 days; and then multiply cows by 3/2 to get 30 cows and do we cut days in half to get 15 days, or do we subtract 15 from 30 to get 15 days?
You might be able to select something to use, and this could be an open ended problem.
The intent of the last part of the question is not too clear. I guess, the idea is that at some lower amount of cows, the grass will grow as fast as the very small number of cows could eat it.
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