Question

Here's how to get exactly 6 liters of water using a 12-liter jug and a 6-liter jug:

1. Fill the 6-liter jug completely.
2. Pour the water from the 6-liter jug into the 12-liter jug.
3. You now have exactly 6 liters in the 12-liter jug.

To measure exactly 6 liters of water using a 12-liter jug and a 6-liter jug, you can follow these steps:

1. Fill the 12-liter jug completely. Now you have 12 liters in the 12-liter jug and 0 liters in the 6-liter jug.
2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full. Now you have 6 liters in the 6-liter jug and 6 liters remaining in the 12-liter jug.
3. Empty the 6-liter jug. Now you have 6 liters in the 12-liter jug and 0 liters in the 6-liter jug.
4. Pour the remaining 6 liters from the 12-liter jug into the 6-liter jug. Now you have 0 liters in the 12-liter jug and 6 liters in the 6-liter jug.

Now, you have exactly 6 liters of water in the 6-liter jug.

This method is straightforward since one of the jugs already has a 6-liter capacity, making it easy to measure exactly 6 liters.

However, if you need to fill exactly 6 liters using different-sized jugs, the steps might be different. For example, if you had a 5-liter and a 7-liter jug, the process would be more involved.

In this case, since you have a 6-liter jug, the solution is quite simple.

Let me know if you need further assistance!

You can get exactly 6 liters of water in the 12-liter jug by following these steps:

1. Fill the 12-liter jug completely, so it contains 12 liters of water.
2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full, leaving 6 liters in the 12-liter jug.

Now you have exactly 6 liters of water in the 12-liter jug.

Okay, so I need to figure out how to get exactly 6 liters of water using a 12-liter jug and a 6-liter jug. Hmm, let's see. I remember there's a classic water jug problem where you have to measure specific amounts by filling, emptying, and transferring between jugs. Maybe this is similar. Let me start by recalling the steps for similar problems.

First, the jugs are 12 liters and 6 liters. The goal is to have exactly 6 liters. Wait, but one of the jugs is already 6 liters. So maybe this is straightforward? If I just fill the 6-liter jug completely, that would give me exactly 6 liters. But maybe the problem is trickier because the 12-liter jug is involved. Let me check the problem statement again. It says, "I have a 12-liter jug and a 6-liter jug. How do I get exactly 6 liters of water?" So maybe the answer is simply filling the 6-liter jug. But that seems too easy. Maybe there's a catch. Perhaps the jugs are irregularly shaped or there's another constraint not mentioned. But the problem doesn't specify any other constraints.

Wait, maybe the question is a trick question. Since the 6-liter jug is exactly the size needed, you just fill it up. But maybe the problem expects a different method using both jugs. Let me think. If I have to use both jugs, even though one is already 6 liters, maybe the solution involves transferring water between them. Let me try to outline possible steps.

1. Fill the 12-liter jug completely. Now, the 12-liter jug has 12 liters, and the 6-liter is empty.
2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full. That would leave 12 - 6 = 6 liters in the 12-liter jug. So then, the 12-liter jug would have exactly 6 liters.

Wait, that's another way to get 6 liters. So depending on which jug you want the 6 liters in, you can either fill the 6-liter jug directly or fill the 12-liter jug, pour into the 6-liter jug, and have 6 liters left in the 12-liter jug.

But the problem just says "get exactly 6 liters of water." It doesn't specify which jug. So either method works. But maybe the answer expects using both jugs. Let me check both possibilities.

If the answer is simply filling the 6-liter jug, then the steps are:

1. Fill the 6-liter jug. Done.

But if the answer requires using the 12-liter jug in the process, then:

1. Fill the 12-liter jug.
2. Pour from the 12-liter jug into the 6-liter jug until it's full.
3. The 12-liter jug now has 6 liters left.

But both methods result in exactly 6 liters. However, since the problem mentions both jugs, maybe the intended answer is the second method, using both jugs. Let me verify.

Alternatively, maybe the problem is designed to test understanding that one of the jugs is already the desired size, so the simplest solution is to fill that one. But in classic puzzles, sometimes the assumption is that you start with both jugs empty, and you have to measure a certain amount. If that's the case, then depending on the starting state, the steps might differ.

Wait, the problem doesn't specify whether the jugs start empty or not. If they can start empty, then filling the 6-liter jug directly is the solution. If they have to be used in some way, maybe transferring. Let me think again.

Suppose both jugs are empty. To get 6 liters, you can fill the 6-liter jug. If you need to have the 6 liters in the 12-liter jug, then you would fill the 12-liter jug, pour into the 6-liter jug until it's full, leaving 6 liters in the 12-liter jug.

But the problem doesn't specify where the 6 liters should be. So either way is correct. However, since the 6-liter jug is already 6 liters, filling it directly is the most straightforward. But maybe the problem is designed to make you think it's more complicated, but actually, it's simple.

Alternatively, maybe there's a different interpretation. For example, if the jugs have markings or not, but the problem doesn't mention that. In classic problems like the 3 and 5-gallon jug puzzle, you have to use both to measure. But in this case, since one jug is exactly the target size, it's simpler.

Wait, let me check the exact wording again: "How do I get exactly 6 liters of water?" It doesn't specify which jug to have it in, so the answer is either:

1. Fill the 6-liter jug.

Or, if you need it in the 12-liter jug:

1. Fill the 12-liter jug.
2. Pour into the 6-liter jug until full, leaving 6 liters in the 12-liter jug.

But since the problem doesn't specify, maybe the answer is just filling the 6-liter jug. However, given that the problem includes both a 12 and a 6-liter jug, perhaps the intended answer is the second method, demonstrating the use of both jugs.

Alternatively, maybe the problem is a trick question, pointing out that the 6-liter jug is already the desired measure, so you just fill it. But to be thorough, let me outline both solutions.

Solution 1: - Fill the 6-liter jug. Now you have 6 liters.

Solution 2: - Fill the 12-liter jug. - Pour water from the 12-liter jug into the 6-liter jug until it's full. - The 12-liter jug now has 6 liters remaining.

Either way, you end up with 6 liters. The problem might be testing whether the person overcomplicates it by using both jugs when the direct solution exists. But in some variations of the problem, you might not have a jug of the target size, so you have to use the other method. Here, since one jug is exactly 6 liters, it's straightforward.

But to be safe, maybe present both solutions. However, the problem asks "how do I get exactly 6 liters," and since one of the jugs is 6 liters, the simplest answer is to fill that jug. Unless there's an unstated constraint, like both jugs must be used, but that's not mentioned.

Therefore, the answer is to fill the 6-liter jug. But let me check online for similar problems to confirm. Wait, I can't actually browse, but based on my knowledge, in the classic water jug problem where you have jugs of sizes that are multiples, if the target is equal to one of the jugs, you just fill that jug. For example, if you have a 5-liter and 3-liter jug, and you need 3 liters, you fill the 3-liter jug. Similarly here.

Therefore, the answer is to fill the 6-liter jug. However, if the problem expects using both jugs (maybe as a trick), then the other method. But given the problem statement, I think the straightforward answer is correct.

To obtain exactly 6 liters of water, you can use either of the following methods:

Method 1 (Direct):

1. Fill the 6-liter jug completely. This directly gives you 6 liters in the 6-liter jug.

Method 2 (Using both jugs):

1. Fill the 12-liter jug to its full capacity (12 liters).
2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full. This leaves 6 liters remaining in the 12-liter jug.

Both methods achieve exactly 6 liters. The simplest solution is Method 1, as the 6-liter jug is already the desired size.

Final Answer:
Fill the 6-liter jug directly.
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To obtain exactly 6 liters of water using a 12-liter jug and a 6-liter jug, follow these simple steps:

1. Start with the 12-liter jug full and the 6-liter jug empty.

2. 12-liter jug: 12 liters

3. 6-liter jug: 0 liters

4. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full.

5. 12-liter jug: 6 liters (12 - 6 = 6)

6. 6-liter jug: 6 liters

Now, you have exactly 6 liters of water remaining in the 12-liter jug.

Summary of Steps: 1. Fill the 6-liter jug from the 12-liter jug. 2. The 12-liter jug will now contain exactly 6 liters of water.

This method ensures you accurately measure out 6 liters using the two jugs.

Here's how to get exactly 6 liters of water using a 12-liter jug and a 6-liter jug:

1. Fill the 12-liter jug completely.

2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full. This leaves exactly 6 liters in the 12-liter jug.

You now have 6 liters of water in the bigger jug.

Here's a simple method:

1. Fill the 12‑liter jug completely (it now contains 12 liters).
2. Pour water from the 12‑liter jug into the 6‑liter jug until the 6‑liter jug is full.
3. After filling the 6‑liter jug, exactly 6 liters will remain in the 12‑liter jug.

You now have exactly 6 liters of water in the 12‑liter jug.

A straightforward way to do this is:

1. Fill the 12-liter jug completely (it now has 12 liters).
2. Pour water from the 12-liter jug into the 6-liter jug until the 6-liter jug is full. • At this point, the 12-liter jug will have 6 liters left (12 − 6 = 6).
3. You now have exactly 6 liters of water in the 12-liter jug.

Here's how you can get exactly 6 liters of water using a 12-liter jug and a 6-liter jug:

1. Fill the 6-liter jug completely.
2. Pour the water from the 6-liter jug into the 12-liter jug. You now have 6 liters in the 12-liter jug.
3. Fill the 6-liter jug completely again.
4. Pour water from the 6-liter jug into the 12-liter jug until the 12-liter jug is full. Since the 12-liter jug already had 6 liters, you will pour 6 liters. This leaves you with 0 liters in the 6 liter jug.
5. Now empty the 12 liter jug.
6. Pour the water from the 6-liter jug into the 12-liter jug.
7. Fill the 6-liter jug completely again.
8. Pour the water from the 6-liter jug into the 12-liter jug until the 12-liter jug is full. Since the 12-liter jug already had 0 liters, you will pour 6 liters. This leaves you with 0 liters in the 6 liter jug.
9. There are 6 liters left in the 6 liter jug.