Question

на двух складах хранилось 900 т овощей.после того как с одного склада перевезли на другой 150 т овощей,на втором складе овощей стало в 2 раза больше,чем на первом.сколько тонн овощей было на каждом складе первоначально?

Answer 1

Хт - на первом складе
Ут - на втором
решаем систему:
х+у=900
2(х-150)=у+150

х=900-у
2((900-у)-150)=у+150

1800-2у-300=у+150
3у=1350
у=450т - на одном складе

900-450=450т - на втором

Answer 2

Problem Analysis

We are given that there were 900 tons of vegetables stored in two warehouses. After transferring 150 tons from one warehouse to the other, the amount of vegetables in the second warehouse became twice as much as in the first warehouse. We need to determine the initial amount of vegetables in each warehouse.

Solution

Let's assume that the initial amount of vegetables in the first warehouse is x tons. Since the amount of vegetables in the second warehouse became twice as much as in the first warehouse after transferring 150 tons, the amount of vegetables in the second warehouse is 2x + 150 tons.

According to the given information, the total amount of vegetables in both warehouses is 900 tons. Therefore, we can write the following equation:

x + (2x + 150) = 900

Simplifying the equation:

3x + 150 = 900

Subtracting 150 from both sides:

3x = 750

Dividing both sides by 3:

x = 250

So, the initial amount of vegetables in the first warehouse was 250 tons.

To find the initial amount of vegetables in the second warehouse, we substitute the value of x into the equation:

2x + 150 = 2 * 250 + 150 = 650

Therefore, the initial amount of vegetables in the second warehouse was 650 tons.

Answer

The initial amount of vegetables in the first warehouse was 250 tons, and the initial amount of vegetables in the second warehouse was 650 tons.