Question

4. В первом мешке было в 4 раза больше муки, чем во втором. Когда из первого мешка взяли 13 кг муки, а во второй добавили 8 кг, то в мешках стало поровну муки. Сколько килограммов муки было в каждом мешке сначала ? ​

Answer 1

Ответ:

в первом - 28

во втором - 7

Answer 2

Ответ:

28 кг муки было в первом мешке

7 кг муки было во втором мешке

Пошаговое объяснение:

Пусть во втором мешке было х кг муки, тогда в первом 4х кг

Когда из первого мешка взяли 13 кг муки, а во второй добавили 8 кг, то в мешках стало поровну муки

Составим уравнение:

4х - 13 = х + 8

4х - х = 8 + 13

3х = 21

х = 21/3

х = 7 (кг) муки было во втором мешке

7*4 = 28 (кг) муки было в первом мешке

Answer 3

Problem Analysis

We are given two bags of flour, and it is stated that the first bag contains four times as much flour as the second bag. After taking 13 kg of flour from the first bag and adding 8 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 second bag is x kg. According to the problem, the first bag contains four times as much flour as the second bag, so the initial amount of flour in the first bag is 4x kg.

After taking 13 kg of flour from the first bag, the amount of flour remaining in the first bag is 4x - 13 kg. Adding 8 kg to the second bag gives us x + 8 kg of flour in the second bag.

Since the amount of flour in both bags becomes equal, we can set up the following equation:

4x - 13 = x + 8

Simplifying the equation, we get:

3x = 21

Dividing both sides of the equation by 3, we find:

x = 7

Therefore, the initial amount of flour in the second bag is 7 kg, and the initial amount of flour in the first bag is four times that amount, which is 28 kg.

Answer

The initial amount of flour in each bag was 28 kg in the first bag and 7 kg in the second bag.