Question

4. В одном элеваторе было зерна в 3,5 раза больше, чем в другом. Из первого элеватора вывезли 850 т зерна, а во второй привезли 250 т, после чего обоих элеваторах зерна стало поровну. Сколько тонн зерна было в каждом элеваторе первоначально?

Answer 1

Відповідь:

Покрокове пояснення:

пусть в первом єлеваторе х т тогда во втором 3,5х т зерна составим и решим уравнение

3,5х-850=х+250

2,5х=1100

х=440т в первом єлеваторе

440*3,5=1540 т во втором

Answer 2

Ответ: нужно составить уравнение. Пусть в одном элеваторе (первый) зерна будет 2х. Во втором - х.
2х-850=х+250
2х-х=250+850
х=1100
Соответственно в первом элеваторе было 1100 т зерна, во втором -1100

Answer 3

Problem Analysis

We are given two elevators, and the amount of grain in one elevator is 3.5 times greater than the amount in the other elevator. After 850 tons of grain are removed from the first elevator and 250 tons are added to the second elevator, the amount of grain in both elevators becomes equal. We need to determine the initial amount of grain in each elevator.

Solution

Let's assume that the initial amount of grain in the first elevator is x tons. Since the amount of grain in the second elevator is 3.5 times less, the initial amount of grain in the second elevator is x/3.5 tons.

After 850 tons of grain are removed from the first elevator, the amount of grain remaining is x - 850 tons. After 250 tons of grain are added to the second elevator, the amount of grain in the second elevator becomes (x/3.5) + 250 tons.

According to the problem statement, the amount of grain in both elevators becomes equal. Therefore, we can set up the following equation:

(x - 850) = (x/3.5) + 250

To solve this equation, we can multiply both sides by 3.5 to eliminate the fraction:

3.5(x - 850) = x + 875

Expanding and simplifying the equation:

3.5x - 2975 = x + 875

Subtracting x from both sides:

2.5x - 2975 = 875

Adding 2975 to both sides:

2.5x = 3850

Dividing both sides by 2.5:

x = 1540

Therefore, the initial amount of grain in the first elevator was 1540 tons, and the initial amount of grain in the second elevator was 1540/3.5 = 440 tons.

Answer

The initial amount of grain in the first elevator was 1540 tons, and the initial amount of grain in the second elevator was 440 tons.