Question

На двух складах было 210,2 тонн картофеля. После того, как с первого склада продали 24,5 тонн, а с второго 10,8 тонн, на первом складе картофеля оказалось в 2 раза больше, чем на втором. Сколько тонн картофеля было на самом каждом складе первоначально?

Answer 1

Пусть х- первый склад2(х-24,5)=х-10,82х-69=х-10,82х-х=69-10,8х=58,2-ПЕРВЫЙ СКЛАД

Answer 2

Problem Analysis

We are given that there were 210.2 tons of potatoes on two warehouses. After selling 24.5 tons from the first warehouse and 10.8 tons from the second warehouse, the amount of potatoes on the first warehouse was twice as much as on the second warehouse. We need to find the initial amount of potatoes on each warehouse.

Solution

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

According to the given information, we can set up the following equations:

Equation 1: x + y = 210.2 (the total amount of potatoes on both warehouses) Equation 2: x - 24.5 = 2(y - 10.8) (the amount of potatoes on the first warehouse is twice as much as on the second warehouse after selling)

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

Solving the System of Equations

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

From Equation 1, we can express x in terms of y: x = 210.2 - y

Substituting this value of x into Equation 2, we get: 210.2 - y - 24.5 = 2(y - 10.8)

Simplifying the equation: 185.7 - y = 2y - 21.6

Bringing all the y terms to one side: 3y = 207.3

Dividing both sides by 3: y = 69.1

Substituting this value of y back into Equation 1, we can find x: x = 210.2 - 69.1 x = 141.1

Answer

The initial amount of potatoes on the first warehouse was 141.1 tons, and the initial amount of potatoes on the second warehouse was 69.1 tons.

Please let me know if I can help you with anything else.