Math puzzle: getting 2L from 3L and 4L containers

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  • Thread starter burgess
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In summary, to measure 2 liters of milk using a 4 liter and a 3 liter container, you can fill the 3 liter container twice and pour the milk into the 4 liter container, leaving 2 liters of milk remaining in the 3 liter container. This method utilizes the capacity differences between the two containers to accurately measure 2 liters of milk.
  • #1
burgess
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If you have one 4 liter container and one 3 liter container how do you measure 2 liter of milk by using them?

Please explain in detail
 
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  • #2
burgess said:
If you have one 4 liter container and one 3 liter container how do you measure 2 liter of milk by using them?

Please explain in detail

You could fill the 3 liter container with milk.
Then pour the milk into the 4 liter container, which contains now 3/4 liter milk.
Fill the 3 liter container again with milk.
Then pour again the milk into the 4 liter container, you can only pour 1 liter milk into the 4 liter container because it already contains 3/4 liter milk.
So in the 3 liter container is 2 liter of milk left.
 
  • #3
mathmari said:
You could fill the 3 liter container with milk.
Then pour the milk into the 4 liter container, which contains now 3/4 liter milk.
Fill the 3 liter container again with milk.
Then pour again the milk into the 4 liter container, you can only pour 1 liter milk into the 4 liter container because it already contains 3/4 liter milk.
So in the 3 liter container is 2 liter of milk left.

Thanks for the solution :)
 

FAQ: Math puzzle: getting 2L from 3L and 4L containers

How can you get exactly 2 liters of water using only 3L and 4L containers?

The solution to this math puzzle involves filling the 4L container with water, pouring it into the 3L container, and then filling the 4L container again. This will leave 1L of water in the 3L container. Then, empty the 3L container and transfer the remaining 1L of water from the 4L container into it. Finally, fill the 4L container again and pour it into the 3L container, leaving exactly 2L of water in the 4L container.

Is it possible to solve this puzzle by filling the 3L container first?

No, it is not possible to get exactly 2L of water by filling the 3L container first. This is because the 4L container is needed to hold the extra 1L of water that is left over when transferring from the 4L to the 3L container.

Can this puzzle be solved using any other container sizes?

Yes, this puzzle can be solved using any combination of containers as long as one is larger than the other. For example, you could use a 5L and 6L container or a 2L and 3L container.

Are there any other methods for solving this puzzle?

Yes, there are multiple methods for solving this puzzle. One alternative method involves filling the 3L container first, then transferring the water to the 4L container and filling the 3L container again. This will leave 2L of water in the 4L container. Another method involves filling the 4L container first, then transferring the water to the 3L container and filling the 4L container again. This will also leave 2L of water in the 4L container.

How can this puzzle be applied to real-life situations?

This puzzle is a classic example of a mathematical problem that requires critical thinking and problem-solving skills. It can be applied to real-life situations where you may need to measure or transfer a specific amount of liquid using limited resources. It also teaches the concept of conservation of volume and the importance of thinking outside the box to find solutions to complex problems.

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