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Filling Jugs

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Filling Jugs

I have some empty jugs. I fill half of them halfway with water. I fill a third of the remaining jugs a third of the way with water. I fill the remaining jugs
1
4
full. If I consolidate all the water, I can fill 28 jugs completely. How many jugs do I have?

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Problem by Mr. Twitchell

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