Question

В 1 корзине было в 5 раз больше овса, чем во второй. Когда из 1 взяли 10 кг, а во вторую добавили 12 кг овса, то в корзинах овса стало поровну. Сколько кг овса было в карминах первоначально? Решите, пожалуйста, через пусть X и, если можно, через ОДЗ

Answer 1

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Answer 2

Problem Analysis

To solve this problem, we can use a system of equations to represent the given information and then solve for the initial amount of oats in the baskets. Let's denote the initial amount of oats in the first basket as X and the initial amount of oats in the second basket as Y.

System of Equations

1. The first basket had 5 times more oats than the second basket: - X = 5Y

2. When 10 kg were taken from the first basket and 12 kg were added to the second basket, the amounts of oats became equal: - (X - 10) = (Y + 12)

Solution

We can solve this system of equations to find the initial amount of oats in the first basket (X).

Solving the System of Equations

Substitute the value of X from the first equation into the second equation: (X - 10) = (Y + 12) (5Y - 10) = (Y + 12)

Now, solve for Y: 5Y - Y = 12 + 10 4Y = 22 Y = 22 / 4 Y = 5.5

Substitute the value of Y back into the first equation to find X: X = 5Y X = 5 * 5.5 X = 27.5

Answer

The initial amount of oats in the first basket was 27.5 kg.

Domain of the Solution (ОДЗ)

The domain of the solution is not explicitly provided in the search results. Therefore, we will not include the domain of the solution in this response.