Question

Мама купила яблоки для своих детей -Вани ,Нины и Миши. Дети должны были поделить яблоки между собой поровну.Ваня пришёл первым,сосчитал яблоки ,взял третью чаcть и ушёл.Потом пришла Нина и,полагая,что она пришла первой,сосчитала оставшиеся яблоки,взяла третью чаcть яблок.Наконец пришёл Миша и взял третью часть оставшихся яблок.После этого осталось 8 яблок .Сколько яблок купила мама.

Answer 1

Начнем решать с конца. остальсь 8 яблок поле того как Миша взял свою 1/3, сдедовательно осталось 2/3.
8:2*3=12 яблок - осталось после ухода Нины
12:2*3=18 яблок - осталось после ухода Вани
18:2*3=27 яблок - купила мама

Answer 2

Problem Analysis

In this problem, we are given that a mother bought apples for her three children, Vanya, Nina, and Misha. The children were supposed to divide the apples equally among themselves. Vanya arrived first, took one-third of the apples, and left. Then Nina arrived, thinking she was the first one to arrive, took one-third of the remaining apples, and left. Finally, Misha arrived and took one-third of the remaining apples. After Misha took his share, there were 8 apples left. We need to determine how many apples the mother bought.

Solution

Let's assume that the mother bought x apples.

When Vanya arrived, he took one-third of the apples, leaving (2/3)x apples remaining.

When Nina arrived, she also took one-third of the remaining apples, leaving (2/3) * (2/3)x = (4/9)x apples remaining.

Finally, when Misha arrived, he took one-third of the remaining apples, leaving (2/3) * (4/9)x = (8/27)x apples remaining.

According to the problem, (8/27)x = 8 apples.

To find the value of x, we can set up the equation:

(8/27)x = 8

To solve for x, we can multiply both sides of the equation by (27/8):

x = 8 * (27/8)

Simplifying the expression, we find:

x = 27

Therefore, the mother bought 27 apples.

Answer

The mother bought 27 apples.