Question

В первом мешке в 1,5 раза меньше муки, чем во втором. После того, как из первого мешка достали 17 кг муки, а из второго - 35 кг, муки в обоих мешках стало поровну. Сколько килограммов муки было во втором мешке первоначально?

Answer 1

Ответ:54 кг

Пусть x кг муки в первом мешке, тогда 1,5x кг муки во втором мешке.После того, как из первого достали, в нем осталось (x-17) кг муки, а во втором-(1,5x-35)кг муки.

Составим и решим ур-ние:

1,5x-35=x-17

1,5x-x=-17+35

0,5x=18 |:0,5

x=36

36(кг)-муки было в первом мешке

1,5•36=54(кг)-муки было во втором

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given two bags of flour, and the amount of flour in the first bag is 1.5 times less than the amount in the second bag. After taking out 17 kg of flour from the first bag and 35 kg from the second bag, the amount of flour in both bags becomes equal. We need to find the initial amount of flour in the second bag.

Solution

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

According to the problem, the amount of flour in the first bag is 1.5 times less than the amount in the second bag. Therefore, the amount of flour in the first bag is x - 1.5x = -0.5x kg.

After taking out 17 kg of flour from the first bag, the amount of flour left in the first bag is -0.5x - 17 kg.

After taking out 35 kg of flour from the second bag, the amount of flour left in the second bag is x - 35 kg.

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

-0.5x - 17 = x - 35

To solve this equation, we can simplify it as follows:

-0.5x - x = -35 + 17

-1.5x = -18

Dividing both sides of the equation by -1.5, we get:

x = 12

Therefore, the initial amount of flour in the second bag was 12 kg.

Answer

The initial amount of flour in the second bag was 12 kg.