Question

!!!!Ребят плиз напишите ответ.в двух сараях сложено сено. В первом сарае сена в 3 раза больше, чем во втором.После того как из первого сарая взяли 20 тонн сега, а во второй добавили 20 т сена,оказалось что во втором сарае число тонн сена равно 5/7 числа тонн сена оставшегося в первом сарае.Сколько тонн первоначально было в каждом сарае

Answer 1

Пусть во втором сарае - х, тогда в первом - 3х (3х-20)*5\7 = х+20 15х-100=7х+140 15х-7х=100+140 8х=240 х=30 1 - 90т 2 - 30т сена

Answer 2

Problem Analysis

We have two barns, and the amount of hay in the first barn is three times the amount in the second barn. After taking 20 tons of hay from the first barn and adding 20 tons to the second barn, the amount of hay in the second barn is equal to 5/7 of the amount of hay remaining in the first barn. We need to find the initial amount of hay in each barn.

Solution

Let's assume the initial amount of hay in the second barn is x tons. According to the problem, the amount of hay in the first barn is three times the amount in the second barn, so the initial amount of hay in the first barn is 3x tons.

After taking 20 tons of hay from the first barn, the remaining amount of hay in the first barn is 3x - 20 tons. Adding 20 tons to the second barn gives us x + 20 tons.

According to the problem, the amount of hay in the second barn after adding 20 tons is equal to 5/7 of the amount of hay remaining in the first barn. Mathematically, we can represent this as:

(x + 20) = (5/7)(3x - 20)

Let's solve this equation to find the value of x, which represents the initial amount of hay in the second barn.

Expanding the equation, we get:

7(x + 20) = 5(3x - 20)

Simplifying further:

7x + 140 = 15x - 100

Rearranging the equation:

8x = 240

Dividing both sides by 8:

x = 30

So, the initial amount of hay in the second barn is 30 tons. Since the amount of hay in the first barn is three times the amount in the second barn, the initial amount of hay in the first barn is 3 * 30 = 90 tons.

Therefore, the initial amount of hay in each barn is 90 tons in the first barn and 30 tons in the second barn.

Answer: The initial amount of hay in the first barn is 90 tons, and the initial amount of hay in the second barn is 30 tons.

Explanation

To solve this problem, we used algebraic equations to represent the given information and find the initial amount of hay in each barn. By setting up an equation based on the given conditions and solving it, we determined that the initial amount of hay in the first barn is 90 tons and the initial amount of hay in the second barn is 30 tons.