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Suppose there are x ducks and y goats.

Then total number of creatures is 95 so that x + y = 95

and total number of legs = 2x + 4y = 316

Multiply the first equation by 2 and subtract from the second:

0x + 2y = 126 so that y = 63

and then, by the first equation, x + 63 = 95 so that x = 32.

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Q: If you have 95 ducks and goats with 316 legs total how many of each kind do you have?
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