Question

В два овощных склада завезли 30 тонн картошки. После того как с каждого склада продали по 6 тонн, на первом складе осталось в 2 раза больше чем во втором.сколько картофиля было на каждом складе первоночально?

Answer 1

Х тонн на первом складе и У тонн на втором складе.

Answer 2

Problem Analysis

We are given that 30 tons of potatoes were delivered to two vegetable warehouses. After selling 6 tons from each warehouse, the amount of potatoes left in the first warehouse was twice as much as the amount left in the second warehouse. We need to determine the initial amount of potatoes in each warehouse.

Solution

Let's assume that the initial amount of potatoes in the first warehouse is x tons and the initial amount in the second warehouse is y tons.

According to the given information, the following equations can be formed: 1. After selling 6 tons from each warehouse, the amount of potatoes left in the first warehouse was twice as much as the amount left in the second warehouse: - Amount left in the first warehouse = x - 6 - Amount left in the second warehouse = y - 6 - x - 6 = 2(y - 6)

2. The total amount of potatoes delivered to both warehouses is 30 tons: - x + y = 30

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using the substitution method.

From equation 2, we can express x in terms of y: - x = 30 - y

Substituting this value of x into equation 1: - 30 - y - 6 = 2(y - 6) - 24 - y = 2y - 12 - 3y = 36 - y = 12

Substituting the value of y back into equation 2: - x + 12 = 30 - x = 18

Therefore, the initial amount of potatoes in the first warehouse was 18 tons, and the initial amount in the second warehouse was 12 tons.

Answer

The initial amount of potatoes in each warehouse was: - First warehouse: 18 tons - Second warehouse: 12 tons