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it's basically impossible because you know that it takes 1 cat to catch 1 mouse, so that means it takes 100 cats to catch 100 mice. But the question you have doesn't tell me how many minutes it takes for 1 cat to catch 1 mouse. e.g say it took 5 minutes for 1 cat to catch 1 mouse you times 5 by 100 and you get 500 so it would take 500 minutes for 100 cats to catch 100 mice. but your question doesn't have the time for how long it would take for 1 cat to catch 1 mouse. so therefore your question can't be answered.

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Q: How may cats does it take to catch 100 mice in 100 minutes?
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Four cats catch 4 mice 4 minutes. How many cats will it take to catch 10 mice in 10 minutes?

It'll take 4 because if 4 cats catch 4 mice in 4 minutes, it means it takes 1 minute for one cat to catch 1 mouse. So if 10 cats were the answer, the question would be, how many cats will it take to catch 10 mice in four minutes. This question is obvious...


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