Tuesday, February 11, 2014

#24 Bucket Head Games

At a rural cabin, you get water from a well using only a 4-gallon bucket and a 9-gallon bucket. In trips from the well to the cabin, what whole number gallon amounts of water could you bring back to the cabin?

There are no markings on the buckets.  And, you can’t do any estimating or add any markings!

The easy ones are
4- fill up the 4-gallon bucket
9- fill up the 9-gallon bucket
13- fill up both buckets
Extra Hint- all gallon amounts 1-13 are possible.  For the credit, explain how to come up with the gallon amounts 1, 2, 3, 5, 6, 7, 8, 10, 11 and 12.
Extra Extra Hint- 5- Fill up the 9 gallon bucket.  Pour 4 gallons into the 4 gallon bucket leaving 5 gallons in the 9 gallon bucket.
Give an explanation for how to come up with each gallon amount.
The correct answer will include all possible gallon amounts and the correct process for obtaining each gallon amount.
Write out the answers including the correct processes and email me the answers with procedures. 

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