Вопрос задан 10.05.2019 в 18:18. Предмет Математика. Спрашивает Абдракынова Альмира.

В буфете тарелок было в 4 раза больше,чем на столе.Когда на стол поставили 12 новых тарелок,в

буфете и на столе тарелок стало поровну.Сколько тарелок было в буфете? напишите решения задачи всё понятно и правильно пожалуйста я выделю как самый лучший ответ правда!
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Отвечает Казаков Кирилл.
Пусть на столе-Х,тогда в буфете-4Х
12+Х=4Х
3Х=12
Х=4(т.)-на столе
4•4==16(т.)-в буфете
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

We are given that there were 4 times as many plates in the buffet as there were on the table. When 12 new plates were placed on the table, the number of plates became equal on both the table and the buffet. We need to determine the initial number of plates in the buffet.

Solution

Let's assume the initial number of plates on the table is x. According to the problem, there were 4 times as many plates in the buffet as on the table. Therefore, the initial number of plates in the buffet is 4x.

When 12 new plates were placed on the table, the number of plates became equal on both the table and the buffet. This means that the total number of plates on the table and in the buffet is now 2x + 12.

To find the initial number of plates in the buffet, we can set up the following equation:

4x = 2x + 12

Now, let's solve this equation to find the value of x.

4x - 2x = 12

2x = 12

x = 6

Therefore, the initial number of plates on the table is 6. Since there were 4 times as many plates in the buffet, the initial number of plates in the buffet is 4 * 6 = 24.

So, there were initially 24 plates in the buffet.

Answer

The initial number of plates in the buffet was 24.

Explanation

Let's break down the solution step by step:

1. We assumed the initial number of plates on the table is x. 2. According to the problem, there were 4 times as many plates in the buffet as on the table. Therefore, the initial number of plates in the buffet is 4x. 3. When 12 new plates were placed on the table, the total number of plates on the table and in the buffet became 2x + 12. 4. We set up the equation 4x = 2x + 12 to find the value of x. 5. Solving the equation, we found that x = 6. 6. Since there were 4 times as many plates in the buffet, the initial number of plates in the buffet is 4 * 6 = 24.

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

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