# 6 Pints from 7 Pints and 5 Pints

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## Classic Problem

You have $12$ pints of wine in a barrel and you wish to divide it into $6$ pints for a friend and $6$ pints for yourself,
but you only have containers holding $7$ pints and $5$ pints.
How can you succeed?

## Solution

Fill the $5$ pint jug from the barrel, and empty its contents into the $7$ pint jug.

Fill the $5$ pint jug from the barrel again, and fill the $7$ pint jug from it.

There will then be $3$ pints in the $5$ pint jug.

Empty the $7$ pint jug into the barrel.

Pour the $3$ pints from the $5$ pint jug into the $7$ pint jug, which now contains just those $3$ pints.

Fill the $5$ pint jug from the barrel, and fill the $7$ pint jug from it.

This takes $4$ pints, so the $5$ pint jug now contains $1$ pint.

Empty the $7$ pint jug into the barrel, and pour the $1$ pint from the $5$ pint jug into the $7$ pint jug.

Fill the $5$ pint jug from the barrel, and pour the contents into the $7$ pint jug.

The $7$ pint jug now contains $6$ pints, and there are $6$ pints remaining in the barrel.

$\blacksquare$
The text passage describes a classic problem involving the division of 12 pints of wine into two equal parts using containers of 7 pints and 5 pints, and provides a step-by-step solution to achieve this.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 6 Pints from 7 Pints and 5 Pints

Jump to navigation Jump to search

## Classic Problem

You have $12$ pints of wine in a barrel and you wish to divide it into $6$ pints for a friend and $6$ pints for yourself,
but you only have containers holding $7$ pints and $5$ pints.
How can you succeed?

## Solution

Fill the $5$ pint jug from the barrel, and empty its contents into the $7$ pint jug.

Fill the $5$ pint jug from the barrel again, and fill the $7$ pint jug from it.

There will then be $3$ pints in the $5$ pint jug.

Empty the $7$ pint jug into the barrel.

Pour the $3$ pints from the $5$ pint jug into the $7$ pint jug, which now contains just those $3$ pints.

Fill the $5$ pint jug from the barrel, and fill the $7$ pint jug from it.

This takes $4$ pints, so the $5$ pint jug now contains $1$ pint.

Empty the $7$ pint jug into the barrel, and pour the $1$ pint from the $5$ pint jug into the $7$ pint jug.

Fill the $5$ pint jug from the barrel, and pour the contents into the $7$ pint jug.

The $7$ pint jug now contains $6$ pints, and there are $6$ pints remaining in the barrel.

$\blacksquare$
user
The text passage describes a classic problem involving the division of 12 pints of wine into two equal parts using containers of 7 pints and 5 pints, and provides a step-by-step solution to achieve this.

TYPE: SINGLE_QUESTION_WITH_ANSWER