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...dividing it, for every ounce one gets five inches. Multiply this by the amount of hemp each party provided to find the solution.
There is a student with a clever and sharp mind,
The whole Mencius in three days he did find.
The Mencius is one of the "Four Books" of Confucianism, a core text for students in imperial China. Completing it in three days would be an extraordinary feat of speed-reading.
Each day he doubled the amount he read before,
I ask, how many characters each day were in his store?
Answer: On the first day, he read 4,955 characters.
On the second day, he read 9,910 characters.
On the third day, he read 19,820 characters.
Method: Set the proportional factors as 1, 2, and 4. Combine them to get 7, which serves as the divisor. Take the total number of characters in the Mencius—34,685 characters—as the dividend. Divide the dividend by the divisor to get 4,955 characters, which is the count for the first day. Double this for the second day's count, and double that again for the third day's count. This matches the requirements of the question.
**Technical