Dogs and Ducks

If a certain number of dogs and ducks have 30 heads and 100 feet, how many of each are there?


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If all were ducks, there would be 60 feet. But there are 100. Each dog replacing a duck adds two feet to the total. Adding 40 feet means adding 20 dogs, leaving 10 ducks.

20 x 4 + 10 x 2 = 100.

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