Answer:
Yes, there is a sequence, and at the end of the sequence the following arrangement will be in each container;
10-pint container will contain 2 pints of water
7-pint container will contain 7 pints of water
4-pint container will contain 2 pints of water
Explanation:
The 7- and 4-pint containers are full, while the 10-pint container is initially full.
The following steps are followed;
1. pour the content of the 7-pint container into the 10-pint container, and pour 3-pint of water from the 4-pint container to fill up the 10-pint container, leaving the following in the three containers
10-pint container will contain 10 pints of water
7-pint container will contain 0 pints of water
4-pint container will contain 1 pints of water
2. Next, pour the 1 pint of water from the 4-pint container into the 7-pint container, and in turn pour from the 10-pint container into the 4-pint container until it is full, leaving the following in the three containers;
10-pint container will contain 6 pints of water
7-pint container will contain 1 pints of water
4-pint container will contain 4 pints of water
3. next, pour all the content of the 4-pint container into the 7-pint container, and refill the 4-pint container by pouring into it from the 10-pint container, leaving the following in the 3 containers;
10-pint container will contain 2 pints of water
7-pint container will contain 5 pints of water
4-pint container will contain 4 pints of water
4, Finally, pour from the 4-pint container into the 7-pint container until it is full, leaving the following in the 3 containers;
10-pint container will contain 2 pints of water
7-pint container will contain 7 pints of water
4-pint container will contain 2 pints of water.
There you go, this sequence leaves 2-pint of water in the 4-pint container.