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? ПОЖАЛУЙСТА ПОМОГИТЕ!!!! Решите без Х!!!

Answer 1

Дано:
| склад прод. - 24,5 т карт.
|| склад прод. - 10,8 т карт.
Осталось - | склад:|| склад как 2:1
| склад было - ? т карт.} всего 210, 2 т карт.
|| скл. было - ? т карт.  }
1) 24,5+10,8=35,3 (т карт.) - продали
2) 210,2-35,3=174,9 (т карт.) - осталось после продажи
3) 2+1=3 (части) - 1 часть на || складе и 2 части (в 2 раза больше) на | складе.
4) 174,9:3=58,3 (т карт.) - составляет 1 часть, а значит осталось на || складе.
5) 58,3*2=116,6 (т карт.) - осталось после продажи на | складе.
6) 58,3+10,8=69,1 (т карт.) - было на || складе.
7) 116,6+24,5=141,1 (т карт.) - было на | складе.
ОТВЕТ: на первом складе первоначально было 141,1 тонна картофеля; на втором - 69,1 тонна картофеля.

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 remaining in the first warehouse was twice the amount remaining 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 of potatoes in the second warehouse is y tons.

According to the given information: 1. The total amount of potatoes in both warehouses is 210.2 tons: x + y = 210.2.2. After selling 24.5 tons from the first warehouse and 10.8 tons from the second warehouse, the amount of potatoes remaining in the first warehouse was twice the amount remaining in the second warehouse: x - 24.5 = 2(y - 10.8).

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 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.

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 get: x = 210.2 - 69.1 = 141.1.

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

Answer

The initial amount of potatoes in each warehouse was: - First warehouse: 141.1 tons. - Second warehouse: 69.1 tons.

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