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A cat and a half eats a mouse and a half for an hour and a half. How many mice will be eaten by 100 cats for 100 hours?

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10,000. Half a cat eats no mice.

alternately...

100 - because the rest of the mice will run away over the course of the hour where each cat is eating their first mouse.

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I think the answer is

$6666 \frac{2}{3}$

Reasoning

In an hour and a half, $N$ cats eat $N$ mice. Therefore the number of mice eaten by $100$ cats in $100$ hours will be $100 \times \frac{100}{3/2}$

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  • $\begingroup$ That's the correct answer. $\endgroup$ – Martin Feb 12 '19 at 16:19

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