Question

У першому ящику було в 5 разів більше груш, ніжу дру- гому. Коли з першого ящика взяли 16 груш, а в другий поклали 12, то в обох ящиках груш стало порівну. Скільки груш було в кожному ящику спочатку?​

Answer 1

Ответ:

Пошаговое объяснение:

5х-16=х+12

5х-х=12+16

4х=28

х=28:4=7гр во 2 ящ

7х5=35гр  1ящ

Answer 2

Ответ:

в 1 ящике 35 груш, во 2 ящике 7 груш.

Пошаговое объяснение:

1 ящик-5х

2 ящик-х

5х-16=х+12

4х=28

х=7- во 2-ом ящике

7×5=35-в 1-ом ящике

Answer 3

To solve this problem, let's break it down step by step.

Let's assume that the number of pears in the first box is represented by the variable "x," and the number of pears in the second box is represented by the variable "y."

According to the problem, the first box had 5 times more pears than the second box. So we can write the equation: x = 5y.

Next, it says that when 16 pears were taken from the first box and 12 pears were added to the second box, the number of pears became equal in both boxes.

Let's calculate the number of pears in each box after these operations:

In the first box, after taking 16 pears, the number of pears becomes x - 16. In the second box, after adding 12 pears, the number of pears becomes y + 12.

According to the problem, the number of pears in both boxes became equal, so we can write the equation: x - 16 = y + 12.

Now we have a system of two equations: 1. x = 5y 2. x - 16 = y + 12

We can solve this system of equations to find the values of x and y.

Solving the System of Equations:

Substitute the value of x from the first equation into the second equation:

5y - 16 = y + 12

Simplify the equation:

4y = 28

Divide both sides by 4:

y = 7

Now substitute the value of y back into the first equation to find x:

x = 5 * 7 = 35

Therefore, there were initially 35 pears in the first box and 7 pears in the second box.

Please let me know if you need any further assistance!