Quod Erat Demonstrandum

2011/03/29

某古算題

Filed under: Junior Form Mathematics — johnmayhk @ 2:43 下午

今早同事快談一道(疑似)古算題,曰:

「今有共買璡(石之似玉者《說文》),人出半(即 \frac{1}{2}),盈四;人出少半(即 \frac{1}{3}),不足三。問璡價。」

確是中一數學習題的好材料。

Solution
Let n be the number of buyers.
\frac{n}{2}-4=\frac{n}{3}+3\Rightarrow n=42
Hence the price is \frac{42}{2}-4=17.

2 則迴響 »

  1. 此乃EDB數學月曆2011-4-17之題目乎?

    迴響 由 皮旦 — 2011/03/31 @ 2:50 下午 | 回覆


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