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The riddle of Chinese money

The riddle of Chinese money

The Chinese minted coins thousands of years before the Christian era but their inability to understand some fundamental principles has sometimes led them to certain limits of extravagance and experimentation.

In the Florid Kingdom the transactions of importance were carried out with gold bars that were stamped with the name of the banker and the date but the current currency of the country was the "táels" that had a variable value.
They made the coins increasingly thin until they reached a point where 2,000 of them stacked were not three inches tall.

The current coin, which was bronze with a triangular, round or square central hole, had a value just slightly greater than a thousandth of our money and was of variable thickness. The Chinese calculate their value by threading them into a wire to measure their height.

Assuming that eleven coins with round holes are worth 15 cents, eleven with square holes are worth 16 cents and eleven with triangular holes are worth 17 cents, say how many round, square or triangular coins would be needed to buy the puppy that costs 11 cents.

Solution

According to the information in the statement, a round hole coin is worth 15/11 of a cent, a square hole coin is worth 16/11 of a cent and a triangular hole coin 17/11 of a cent.

The puppy worth 11 cents can be purchased with 1 square hole coin and 7 round hole coins.