Question

В первом амбаре было в 2 раза больше зерна чем во втором. из первого амбара взяли 750кг зерна а во второй завезли 350кг. В результате чего в обоих амбарах стало одинаковое количество зерна. сколько зерна было в амбарах изначально

Answer 1

1амб._2x-750
2амб._x+350
2х-750=х+350
2х-х=350+750
х=1100

Answer 2

Problem Analysis

We are given two barns, and initially, the first barn contains twice as much grain as the second barn. Then, 750 kg of grain is taken from the first barn and 350 kg of grain is added to the second barn. As a result, both barns end up with the same amount of grain. We need to determine the initial amount of grain in each barn.

Solution

Let's assume the initial amount of grain in the second barn is x kg. Since the first barn initially contains twice as much grain as the second barn, the initial amount of grain in the first barn is 2x kg.

After taking 750 kg of grain from the first barn, the remaining amount of grain in the first barn is 2x - 750 kg. After adding 350 kg of grain to the second barn, the total amount of grain in the second barn is x + 350 kg.

Since both barns end up with the same amount of grain, we can set up the following equation:

2x - 750 = x + 350

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

2x - x = 350 + 750

x = 1100

Therefore, the initial amount of grain in the second barn is 1100 kg, and the initial amount of grain in the first barn is twice that, which is 2 * 1100 = 2200 kg.

So, initially, there were 2200 kg of grain in the first barn and 1100 kg of grain in the second barn.

Answer

The initial amount of grain in the first barn was 2200 kg, and the initial amount of grain in the second barn was 1100 kg.