The old problem of just a hundred geese will help you to spend your free time usefully. It can be offered to solve not only children, but also adults.
Task: a flock of geese is flying, and one goose is flying to meet them. He shouts: "Hello, one hundred geese!" And the leader of the flock answers him: “No, we are not a hundred geese! Now, if there were just as many of us, half as many, another quarter, as many and you are one more goose, then there would be a hundred geese of us!
Question: how many geese were in the flock?
How to solve
1. "And you are one more goose" - then there will be one hundred. This means that without one goose there will be 99 geese.
2. Flock + flock + half of the flock + quarter of the flock = 99.
In half of the flock there are two quarters, in the whole flock there are four quarters.
Add 4 quarters + 4 quarters + 2 quarters + 1 quarter = 11 quarters.
Thus, 11 quarters are obtained, that is, the number of 99 geese consists of 11 equal parts (quarters).
We count: 99: 11 = 9 geese in one quarter of the flock.
3. There are 9 geese in a quarter. So the whole flock = 9 x 4 = 36.
Answer: 36 geese were in the flock, which was met by one goose.
Have a good rest!
