Question

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

Answer 1

24,5+10,8=35,3 т картофеля продано
210,2-35,3=174,9 т картофеля осталось
174,9:3=58,3 т картофеля осталось на втором складе
58,3+10,8=69,1 т картофеля было на втором складе первоначально
210,2-69,1=141,1 т картофеля было на первом складе первоначально

Answer 2

Problem Analysis

We are given information about two warehouses that initially contained a total of 210.2 tons of potatoes. After selling 24.5 tons from the first warehouse and 10.8 tons from the second warehouse, the amount of potatoes in the first warehouse was twice the amount in the second warehouse. We need to determine the initial amount of potatoes in each warehouse.

Solution

Let's assume 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, we can form the following equations:

Equation 1: x + y = 210.2 (total amount of potatoes in both warehouses)

Equation 2: x - 24.5 = 2(y - 10.8) (amount of potatoes in the first warehouse is twice the amount in the second warehouse after selling)

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 1, we have:

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

Rearranging the equation:

3y = 207.3

Dividing both sides by 3:

y = 69.1

Substituting this value of y back into Equation 1, we get:

x = 210.2 - 69.1

x = 141.1

Answer

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

Please note that the above solution assumes that the total amount of potatoes in both warehouses is 210.2 tons, as stated in the problem. However, the given information is incomplete and does not provide enough context to verify the accuracy of the solution.