
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In 1968, a high school graduate returned from a written university exam and shared at home that he could not solve the following problem:

Several identical books and identical albums were purchased. 10 rubles and 56 kopecks were paid for the books, and 56 kopecks for the albums. The number of books bought was 6 more than the number of albums. How many books were bought if the price of a book is more than a ruble higher than the price of an album?

How did his younger brother, a fifth-grader, solve the problem and conclude that 8 books were bought?

If you find solving this problem challenging, try to understand and remember the conditions clearly. Seek new approaches to solving the problem. Try to "guess" the answer or approximate it. How many solutions does the problem have? Write down the solution and verify your answer.

Present the answer in LaTex format: \boxed{Your answer}
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