Question

1. В одном мешке было в 4 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 кг муки было в мешках сначала? ток не с инета там нету

Answer 1

Ответ:

Пошаговое объяснение:

1 мешок = 4х кг

2 мешок = х кг

4х - 4 = х + 2

4х - х = 2 + 4

3х = 6

х = 6 : 3

х = 2

1 мешок = (4х) = 4 * 2 = 8 кг

2 мешок = (х) = 2 кг

8 - 4 = 2 + 2

4 = 4

Ответ: 8кг; 2кг

Answer 2

Problem Analysis

We are given two bags of flour, where one bag contains 4 times more flour than the other. After taking 4 kg of flour from the first bag and adding 2 kg to the second bag, the amount of flour in both bags becomes equal. We need to determine the initial amount of flour in each bag.

Solution

Let's assume the initial amount of flour in the first bag is x kg. Since the second bag contains 4 times less flour, the initial amount of flour in the second bag is x/4 kg.

After taking 4 kg of flour from the first bag, the remaining amount of flour in the first bag is x - 4 kg. Adding 2 kg of flour to the second bag increases the amount of flour to (x/4) + 2 kg.

According to the problem, the amount of flour in both bags becomes equal. Therefore, we can set up the following equation:

(x - 4) = (x/4) + 2

To solve this equation, we can multiply both sides by 4 to eliminate the fraction:

4(x - 4) = x + 8

Expanding the equation:

4x - 16 = x + 8

Simplifying the equation:

4x - x = 8 + 16

3x = 24

Dividing both sides by 3:

x = 8

Therefore, the initial amount of flour in the first bag is 8 kg, and the initial amount of flour in the second bag is 8/4 = 2 kg.

Answer

The initial amount of flour in the first bag was 8 kg, and the initial amount of flour in the second bag was 2 kg.