Ivan Shishkin, Rye (1878)

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On camels and dromedaries

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Solution

Solution by Ancient Tree · EN

Let dd be the number of dromedaries, and cc be the number of camels.
There are 60 animals in total, so d+c=60d+c=60.
Because dromedaries each have one hump, and camels two, the total number of humps is d+2c=95d+2c=95.

This is a linear system with two unknowns, cc and dd:
{d+c=60d+2c=95\left\{\begin{array}{l} d+c=60 \\ d+2 c=95 \end{array}\right.To solve it, we could subtract the first line from the second line, obtaining c=35c=35. Plugging this back into the first line gives d=60c=6035=25d=60-c=60-35=25.

Therefore, there are 25 dromedaries and 35 camels.

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