Question

Мама положила на стол сливы и сказала детям,чтобы они,вернувшись,из школы,разделили их по ровну.Первой пришла аня,взяла треть слив и ушла.Потом вернулся Боря,взял треть оставшихся слив и ушел.Затем пришел Витя и взял 4 сливы-треть от числа слив,которые он увидел.Сколько слив оставила мама

Answer 1

4:1/3=12 с  - осталось
12:1/3=36 с
Ответ: 36 слив оставила мама

Answer 2

4*3=12 слив оставалось на столе после Бори
12:2/3=18 слив оставалось на столе после Ани
18:2/3=27 слив оставила мама

Answer 3

Problem Analysis

The problem states that a mother placed plums on the table and instructed her children to divide them equally when they returned from school. The first child, Anya, took one-third of the plums and left. Then, Borya returned, took one-third of the remaining plums, and left. Finally, Vitya arrived and took four plums, which was one-third of the plums he saw. We need to determine how many plums the mother initially placed on the table.

Solution

Let's solve the problem step by step:

1. Let's assume the number of plums the mother initially placed on the table is x. 2. Anya took one-third of the plums, which is x/3. So, the remaining plums are x - x/3 = 2x/3. 3. Borya took one-third of the remaining plums, which is (2x/3)/3 = 2x/9. So, the plums left after Borya took his share are 2x/3 - 2x/9 = 4x/9. 4. Vitya took four plums, which is one-third of the plums he saw. So, the plums he saw were 4 * 3 = 12. Therefore, we have 4x/9 = 12. 5. To find the value of x, we can multiply both sides of the equation by 9/4: (4x/9) * (9/4) = 12 * (9/4). Simplifying, we get x = 27.

Therefore, the mother initially placed 27 plums on the table.

Answer

The mother initially placed 27 plums on the table.

Explanation

Let's break down the solution step by step:

1. The mother placed plums on the table. 2. Anya took one-third of the plums, leaving 2x/3 plums on the table. 3. Borya took one-third of the remaining plums, leaving 4x/9 plums on the table. 4. Vitya took four plums, which is one-third of the plums he saw. Since he took four plums, he saw 12 plums. 5. We can solve the equation 4x/9 = 12 to find the value of x. 6. Simplifying the equation, we find that x = 27. 7. Therefore, the mother initially placed 27 plums on the table.

I hope this helps! Let me know if you have any further questions.