Question

В первом элеваторе былозерна в 2 раза больше, чем во втором.Из первогоэлеватро вы везли 750т.зерна,на второй элеватор превезли 250т,после чего в обоих элеваторах зерна стало поровну.Сколько зерна было первоночально в каждом элеваторе?

Answer 1

2х-750=х+250
2х-х=250+750
х=1000
1000*2=2000
ответ 1000т и 2000т

Answer 2

Problem Analysis

We are given two elevators, and initially, the first elevator had twice as much grain as the second elevator. We are also given that 750 tons of grain were transported from the first elevator and 250 tons of grain were transported from the second elevator. After the transportation, the amount of grain in both elevators became equal. We need to determine the initial amount of grain in each elevator.

Solution

Let's assume the initial amount of grain in the second elevator is x tons. According to the problem, the first elevator had twice as much grain as the second elevator, so the initial amount of grain in the first elevator would be 2x tons.

After transporting 750 tons of grain from the first elevator and 250 tons of grain from the second elevator, the amount of grain in both elevators became equal. This means that the first elevator now has 2x - 750 tons of grain, and the second elevator has x - 250 tons of grain.

Since the amount of grain in both elevators is now equal, we can set up the following equation:

2x - 750 = x - 250

Simplifying the equation, we get:

2x - x = 750 - 250

x = 500

Therefore, the initial amount of grain in the second elevator was 500 tons, and the initial amount of grain in the first elevator was twice that amount, which is 1000 tons.

Answer

The initial amount of grain in the first elevator was 1000 tons, and the initial amount of grain in the second elevator was 500 tons.