$\left[\begin{array}{l}\text { Word Problems (miscellaneous) }) \\ {[\text { Common Fractions }}\end{array}\right]$

A flock of geese was flying, and a single goose was flying towards them and said: "Greetings, a hundred geese!" The leader of the flock replied to him: "No, we are not a hundred geese! You see, if there were as many of us as there are, and as many again, and half as many, and a quarter as many, and you, goose, with us, then we would be a hundred geese, but as it is..." How many geese were in the flock?
Try to solve this problem using "parts".

## Solution

Let "so many" be 4 parts. Then "so many plus so many, plus half so many, plus a quarter so many" will be $4+4+2+1=11$ parts. This number of parts is equal to 99 geese. Therefore, one part is 9 geese, and there were 36 geese in the flock.

## Answer

36 geese.