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The answer is 4 days. There are a couple of different ways to go about it, here's one:

From the first set of given info, you know that 500 lb. mush is good for 20 pigs for a week, so lb. mush per pig per DAY is 500/(20*7) = 3.57 lb. mush/(pig*day)

From the second set of given info, you can set up this equation:

(14 pigs)*(x days) = 200 lb. mush/3.57 lb. mush/(pig*day) --> (Double check by making sure that the units on both sides are consistent).

Simplifying, you get 14x = 56 --> x = 4 days.

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Q: If 500 pounds of mush will feed 20 pigs for a week for how many days will 200 pounds of mush feed 14 pigs?
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