Question

На одном элеваторе было зерна в 2 раза больше чем на втором. Когда с первого элеватора вывезли 680 тонн зерна ,а на второй привезли 126 тонн зерна то двух элеваторах зерна стало поровну. Сколько тонн зерна было на каждом элеваторе сначала?

Answer 1

Пусть:

2х (тонн зерна) - на 1ом элеваторе

х (тонн зерна) - на втором элеваторе.

Составим и решим уравнение.

2х-680=х+126

х=126+680

х=806

806 зерна было на втором элеваторе, когда привезли еще 126 тонн зерна.

До посадки на 2ом элеваторе было: 806-126=680 тонн

На первом: 680*2=1360 тонн

Ответ:1360 тонн на 1ом участке, 680 тонн на 2ом элеваторе.

Answer 2

Ответ:

1612 т; 806 т.

Пошаговое объяснение:

Обозначим количество зерна в первом элеваторе (2х) тонн, количество зерна во втором элеваторе - х тонн.

Составим уравнение:

2х-680 = х+126

2х-х = 126+680

х = 806(т)

2х = 806*2 = 1612(т)

Answer 3

Problem Analysis

We are given two elevators, and initially, there is twice as much grain on the first elevator as there is on the second elevator. After 680 tons of grain are removed from the first elevator and 126 tons of grain are added to the second elevator, the amount of grain on both elevators becomes equal. We need to determine the initial amount of grain on each elevator.

Solution

Let's assume the initial amount of grain on the second elevator is x tons. Since the first elevator initially has twice as much grain as the second elevator, the initial amount of grain on the first elevator is 2x tons.

After 680 tons of grain are removed from the first elevator, the amount of grain on the first elevator becomes 2x - 680 tons. Similarly, after 126 tons of grain are added to the second elevator, the amount of grain on the second elevator becomes x + 126 tons.

According to the problem, the amount of grain on both elevators becomes equal after these operations. Therefore, we can set up the following equation:

2x - 680 = x + 126

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

2x - x = 126 + 680

x = 806

So, the initial amount of grain on the second elevator is 806 tons. Since the first elevator initially has twice as much grain as the second elevator, the initial amount of grain on the first elevator is 2 * 806 = 1612 tons.

Therefore, there were initially 1612 tons of grain on the first elevator and 806 tons of grain on the second elevator.

Answer

The initial amount of grain on the first elevator was 1612 tons, and the initial amount of grain on the second elevator was 806 tons.