Question

В трех коробках имеются шары. После того как из первой коробки во вторую переложили 7 шаров, в первой осталось 12 шаро. Затем, когда из второй коробки переложили 3 шара в третью, количество шаров в трех коробках стало одинаковым. Сколько шаров было в каждой коробке первоначально? Решите с помощью уравнения задачу.

Answer 1

12 + 7 = 19 шаров было в первой коробке
Обозначим х - количество шаров во второй коробке( первоначальное)
тогда х + 7 - 3 = 12
          х = 12 - 3 = 8 шаров было во второй коробке
          12 - 3 = 9 шаров было в третьей коробке    
       

Answer 2

Problem Analysis

We are given three boxes containing balls. After transferring 7 balls from the first box to the second box, there are 12 balls remaining in the first box. Then, after transferring 3 balls from the second box to the third box, the number of balls in all three boxes becomes the same. We need to determine the initial number of balls in each box using an equation.

Solution

Let's assume the initial number of balls in the first box is x, in the second box is y, and in the third box is z.

According to the given information, we can form the following equations:

1. After transferring 7 balls from the first box to the second box, the number of balls in the first box becomes 12: - x - 7 = 12

2. After transferring 3 balls from the second box to the third box, the number of balls in all three boxes becomes the same: - x = y - 3 = z

To solve this system of equations, we can substitute the value of x from the second equation into the first equation:

y - 3 - 7 = 12 y - 10 = 12 y = 22

Now, we can substitute the value of y into the second equation to find the value of z:

x = y - 3 = 22 - 3 = 19 z = x = 19

Therefore, the initial number of balls in each box was: - First box: 19 balls - Second box: 22 balls - Third box: 19 balls

Answer

The initial number of balls in each box was: - First box: 19 balls - Second box: 22 balls - Third box: 19 balls