Brain Teasers
Measure Exactly 6 Gallons
Using a tap, a nine-gallon container and a four-gallon container, can you measure exactly 6 gallons?
Answer
Here are the contents of the two containers after each stage (A=nine-gallon container, B=four-gallon container) :A B
9 0 fill A
5 4 fill B from A
5 0 empty B
1 4 fill B from A
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A
6 0 empty B
This leaves 6 gallons in container A.
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