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With 13 legs he can make 3 desks because 3×4=12 (one leg spare);

With 9 planks he can make 4 desks (one plank spare);

With 22 nails he can make 4 desks (two nails spare).

The maximum number of desks is 3 because he hasn’t enough legs to make more desks.

(He would use 12/13 legs, 6/9 planks and 15/22 nails.)

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