This section gives a word problem where division by a rate is used to determine an amount.
Chinese source text: Version A, Version B, Version C, Version D.
Unless noted otherwise, I follow the text from Version D, 《知不足齋叢書》本.
Source text | Target text | Notes |
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今有租九萬八千七百六十二斛、欲以一車載五十斛。問用車幾何。 | Suppose there be land-tax nine myriad eight thousand seven hundred [and] sixty-two barrels, [and we] wish to use one chariot [to] carry fifty barrels. [We] ask, how many chariots useth [it]? | |
答曰、一千九百七十五乘奇一十二斛。 | Answer saith: one thousand nine hundred [and] seventy-five chariots remainder twelve barrels. |
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術曰、置租九萬八千七百六十二斛為實、以一車所載五十斛為法。 | Method saith: put [down the] land-tax nine myriad eight thousand seven hundred [and] sixty-two barrels as [the] dividend, [and] use that carried of one chariot, [even] fifty barrels, as [the] divisor. | |
實如法、即得。 | [Taking the] dividend as [per the] divisor, [we] are done. |
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Conway (2023). "Sun Tzŭ's Computational Classic: Volume III §6". <https://yawnoc.github.io/sun-tzu/iii/6> Accessed yyyy-mm-dd.