Problem 2. On each of the two gardens, Grandpa planted the same number of turnips. If Granddaughter enters the garden, she pulls out exactly $1 / 3$ of the turnips present at that moment. If Doggy enters, she pulls out $1 / 7$ of the turnips, and if Mousey enters, she pulls out only $1 / 12$ of the turnips. By the end of the week, 7 turnips remained in the first garden, and 4 in the second. Did Doggy enter the second garden?
Answer. Yes, she did.

First solution. Each time after granddaughter visits the garden, 2/3 of the turnips that were there before remain, after the visit of the Ladybug, -6/7, and after the visit of the Mouse - 11/12. Therefore, the number of turnips in the garden cannot become a multiple of 7 after the visit of any of these characters, and it can stop being divisible by 7 only after the visit of the Ladybug. Since at the end of the week, the number of turnips in the first garden is divisible by 7, the initial number of turnips in this garden was also divisible by 7.

Initially, there were as many turnips in the second garden as in the first, and at the end, there were 4 left. Therefore, at some point, the number of turnips there stopped being divisible by 7. This means the Ladybug visited the second garden.

Second solution. Since there are fewer turnips in the second garden, someone must have visited it. Let's think about who visited it last. If it was the Mouse, then before her visit, there were $4: \frac{11}{12}=4 \frac{4}{11}$ turnips. If it was the Ladybug, then before her visit, there were $4: \frac{6}{7}=4 \frac{2}{3}$ turnips. Since the number of turnips is always an integer, it could only have been the Granddaughter, and before her visit, there were $4: \frac{2}{3}=6$ turnips.

The number of turnips before the Granddaughter's visit is less than 7, so someone must have visited the garden before that. Similarly to the previous reasoning, this could only have been the Ladybug (and before her visit, there were $6: \frac{6}{7}=7$ turnips).

Since a garden with 7 turnips could not have resulted from the visit of any of the characters, no one visited the garden after that. That is, the Grandfather planted 7 turnips in each garden.