[ Arithmetic. Mental calculation, etc. ] [ Problems on percentages and ratios ]

Author: Raskina I.V.

Children went to the forest to pick mushrooms. If Anya gives half of her mushrooms to Vitya, all the children will have the same number of mushrooms, and if instead Anya gives all her mushrooms to Sasha, Sasha will have as many mushrooms as all the others combined. How many children went to pick mushrooms?
Let Anya give half of her mushrooms to Vitya. Now all the kids have the same number of mushrooms (this means Vitya had no mushrooms of his own). For Sasha to get all of Anya's mushrooms, he needs to take the mushrooms from Vitya and Anya. Then he will have the mushrooms of three kids - Vitya's, Anya's, and his own. The others will have just as many, which means that besides Vitya, Anya, and Sasha, three more children went to the forest.

## Answer

6 children.