Question

На одном овощехранилище было втрое больше моркови, чем га другом. С первого овощехранилища вывезди 450 тонн, а на второе привезли 120 тонны моркови, после чего на обоих овощехранилищах стало моркови поровну. Сколько тонн моркови было всего на двух овощехранилищах?

Answer 1

 х второе хранилище
3х первое хранилище
3х-450 стало на первом
х+120 стало на втором
3х-450=х+120
3х-х=120+450
2х=570
х=285 т
х+3х=4х всего на двух
285*4=1140т всего на двух хранилищах

Answer 2

Problem Analysis

We are given that there is three times more carrots in one vegetable store than in another. From the first store, 450 tons of carrots were taken out, and 120 tons of carrots were brought to the second store. After this, the amount of carrots in both vegetable stores became equal. We need to find the total amount of carrots in both vegetable stores.

Solution

Let's assume that the amount of carrots in the second vegetable store is x tons. Since there is three times more carrots in the first store, the amount of carrots in the first store is 3x tons.

After 450 tons of carrots were taken out from the first store, the amount of carrots in the first store becomes 3x - 450 tons. After 120 tons of carrots were brought to the second store, the amount of carrots in the second store becomes x + 120 tons.

Since the amount of carrots in both stores became equal, we can set up the following equation:

3x - 450 = x + 120

Simplifying the equation, we get:

2x = 570

Dividing both sides by 2, we find:

x = 285

Therefore, the amount of carrots in the second store is 285 tons. Since the amount of carrots in the first store is three times more, the amount of carrots in the first store is 3 * 285 = 855 tons.

The total amount of carrots in both vegetable stores is 285 + 855 = 1140 tons.

Answer

There were a total of 1140 tons of carrots in both vegetable stores.