Question

Решите задачу.На 2 складах было 230 т картофеля.Когда с первого склада перевезли на второй 15 т,то на первом складе картофеля осталось в три раза больше,чем на втором.Сколько тонн картофеля было на каждом складе первоначально?

Answer 1

Х- на одном
230-х-на втором

х-15=3(230-х+15)
х-15=3(245-х)
х-15=735-3х
4х=750
х=750:4=187,5т было на одном
230-187,5=42,5т-было на 2м

Answer 2

Problem Analysis

We are given that there were 230 tons of potatoes on two warehouses. After transferring 15 tons from the first warehouse to the second, the amount of potatoes left on the first warehouse was three times greater than the amount 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. Since the amount of potatoes left on the first warehouse after the transfer is three times greater than the amount on the second warehouse, the amount on the second warehouse is x/3 tons.

According to the problem, the total amount of potatoes on both warehouses is 230 tons. Therefore, we can write the following equation:

x + x/3 = 230

To solve this equation, we can multiply both sides by 3 to eliminate the fraction:

3x + x = 690

Simplifying the equation, we get:

4x = 690

Dividing both sides by 4, we find:

x = 172.5

Therefore, the initial amount of potatoes on the first warehouse was 172.5 tons, and the initial amount on the second warehouse was 172.5/3 = 57.5 tons.

Answer

The initial amount of potatoes on the first warehouse was 172.5 tons, and the initial amount on the second warehouse was 57.5 tons.