Question

В одном мешке было в 3 раза больше муки , чем в другом. Когда из первого мешка взяли 4 кг муки , а во второй добавили 2 кг , то в мешках муки стало поровну. Сколько килограммов муки было в каждом мешке сначало?

Answer 1

1 мешок: было х
стало х+2
2 :было3х стало 3х-4
составляешь уравнение х+2=3х-4
и решаешь: 6=2х х= 3.
3*3 =9.
3 1 мешок
9 2 мешок

Answer 2

Problem Analysis

Let's break down the information given in the problem:

- There are two bags of flour. - The amount of flour in one bag is three times the amount in the other bag. - 4 kg of flour is taken from the first bag. - 2 kg of flour is added to the second bag. - After these operations, the amount of flour in both bags is equal.

We need to find the initial amount of flour in each bag.

Solution

Let's assume the initial amount of flour in the first bag is x kg.

According to the problem, the amount of flour in the second bag is three times the amount in the first bag, so it is 3x kg.

After taking 4 kg of flour from the first bag, the remaining amount of flour in the first bag is x - 4 kg.

After adding 2 kg of flour to the second bag, the total amount of flour in the second bag becomes 3x + 2 kg.

Since the amount of flour in both bags is equal after these operations, we can set up the following equation:

x - 4 = 3x + 2

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

Solving the Equation

To solve the equation, let's simplify it step by step:

x - 4 = 3x + 2

First, let's move all the terms with x to one side of the equation:

x - 3x = 2 + 4

Simplifying further:

-2x = 6

Now, let's isolate x by dividing both sides of the equation by -2:

x = -6 / -2

Simplifying:

x = 3

Answer

Therefore, the initial amount of flour in the first bag was 3 kg.

Since the amount of flour in the second bag is three times the amount in the first bag, the initial amount of flour in the second bag was 3 x 3 = 9 kg.

So, initially, there were 3 kg of flour in the first bag and 9 kg of flour in the second bag.

Please let me know if you need any further assistance!