Bucket Problems.
Rules
You have a tap which will deliver as much water as you need.
You have a drain down which you can empty any amount of water.
The buckets are irregular and have only one accurate marking which is their capacity when full.
You cannot measure half or quarter buckets accurately.
Problem 1
How can you obtain exactly 3 gallons using a 7 gallon and a 5 gallon bucket?
Problem 2
How can you obtain exactly 4 gallons using a 7 gallon and a 5 gallon bucket?
Problem 3
How can you obtain exactly 1 gallon using a 7 gallon and a 5 gallon bucket?