Question

В двух хранилищах 1000центнеров картофеля.когда из этих хранилищ взяли картофеля поровну,в одном из них осталось 249центнеров,а в другом - 187центнеров.Сколько центнеров картофеля взяли из каждого хранилища?

Answer 1

(1000- ( 249+187)):2=282

Answer 2

После того, как из хранилищ взяли одинаковое количество картофеля, в них осталось всего 249+187=436ц. Всего из хранилищ убрали 1000-436=564ц. Так как из каждого хранилища взяли одинаковое количество картофеля, то это количество будет равно 564/2=282ц.

Answer 3

Problem Analysis

We have two storage units with a total of 1000 centners of potatoes. When an equal amount of potatoes is taken from both storage units, one of them is left with 249 centners, and the other is left with 187 centners. We need to determine how many centners of potatoes were taken from each storage unit.

Solution

Let's assume that x centners of potatoes were taken from each storage unit.

According to the given information: - One of the storage units is left with 249 centners of potatoes. - The other storage unit is left with 187 centners of potatoes.

Using this information, we can set up the following equations:

Equation 1: x + 249 = the initial amount of potatoes in the first storage unit. Equation 2: x + 187 = the initial amount of potatoes in the second storage unit.

To solve these equations, we can subtract 249 from both sides of Equation 1 and subtract 187 from both sides of Equation 2:

Equation 3: x = the initial amount of potatoes in the first storage unit - 249. Equation 4: x = the initial amount of potatoes in the second storage unit - 187.

Since both equations are equal to x, we can set them equal to each other:

Equation 5: the initial amount of potatoes in the first storage unit - 249 = the initial amount of potatoes in the second storage unit - 187.

Now, we can solve Equation 5 to find the initial amount of potatoes in each storage unit.

Calculation

Let's solve Equation 5:

the initial amount of potatoes in the first storage unit - 249 = the initial amount of potatoes in the second storage unit - 187.

We can rearrange the equation to isolate one variable:

the initial amount of potatoes in the first storage unit = the initial amount of potatoes in the second storage unit - 187 + 249.

Simplifying the equation:

the initial amount of potatoes in the first storage unit = the initial amount of potatoes in the second storage unit + 62.

Since the total amount of potatoes in both storage units is 1000 centners, we can set up another equation:

the initial amount of potatoes in the first storage unit + the initial amount of potatoes in the second storage unit = 1000.

Substituting the expression for the initial amount of potatoes in the first storage unit from the previous equation:

the initial amount of potatoes in the second storage unit + 62 + the initial amount of potatoes in the second storage unit = 1000.

Combining like terms:

2 * the initial amount of potatoes in the second storage unit + 62 = 1000.

Subtracting 62 from both sides:

2 * the initial amount of potatoes in the second storage unit = 1000 - 62.

Simplifying:

2 * the initial amount of potatoes in the second storage unit = 938.

Dividing both sides by 2:

the initial amount of potatoes in the second storage unit = 938 / 2.

Calculating:

the initial amount of potatoes in the second storage unit = 469 centners.

Now, we can substitute this value back into Equation 3 to find the initial amount of potatoes in the first storage unit:

the initial amount of potatoes in the first storage unit = 469 + 62.

Calculating:

the initial amount of potatoes in the first storage unit = 531 centners.

Therefore, 531 centners of potatoes were taken from the first storage unit, and 469 centners of potatoes were taken from the second storage unit.

Answer

531 centners of potatoes were taken from the first storage unit, and 469 centners of potatoes were taken from the second storage unit.