Question 162
Consider two drums of sufficiently large capacity, one of them empty and the other full of liquid.
a) Determine whether it is possible to move exactly one liter of the liquid from the full drum to the empty one using two buckets, one with a capacity of 5 liters and the other with a capacity of 7 liters.
b) Determine whether it is possible to move exactly one liter of liquid from one of the drums to the other using two buckets, one with a capacity of $2-\sqrt{2}$ liters and the other with a capacity of $\sqrt{2}$ liters.
a) Determine whether it is possible to move exactly one liter of the liquid from the full drum to the empty one using two buckets, one with a capacity of 5 liters and the other with a capacity of 7 liters.
b) Determine whether it is possible to move exactly one liter of liquid from one of the drums to the other using two buckets, one with a capacity of $2-\sqrt{2}$ liters and the other with a capacity of $\sqrt{2}$ liters.