The Goose and the Flock

A lone goose was flying in the opposite direction from a flock of geese. He cried: “Hello, 100 geese!” The leader of the flock answered: “We aren't 100! If you take twice our number and add half our number, and add a quarter of our number, and finally add you, the result is 100, but… well, you figure it out.” The one goose flew on, but could not find the answer.

Then he saw a stork on the bank of a pond looking for frogs. Among birds the stork is the best mathematician. He often stands on one leg for hours, solving problems. The goose descended and told his story.

The stork drew a few lines with his beak to represent the puzzle. “Do you understand?” the stork asked. Goose: “Not yet.” (This is what the stork drew):

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Help the goose solve the size of the flock.

Set by Mr. Arvind, Logic Lab