Question

Four crates contain cereals. When 9 kg was taken out of each box, then all together left as much as was in each. How many kilograms of cereal were in each box?

Answer 1

we make the equation to the problem:

$4(x-9)=x, \\4x-36=x,\\ 3x=36\\ x=12$

Аnswer: Еach box had 12 kg of cereal.

Answer 2

Let's use algebra to solve this problem. Let's call the number of kilograms of cereal in each box "x."

According to the problem, when 9 kg was taken out of each box, the remaining cereal in each box is (x - 9) kg. The problem states that "all together left as much as was in each," which means that the sum of the remaining cereal in all four boxes is equal to what was originally in each box.

So, we can set up the equation:

4(x - 9) = x

Now, let's solve for x:

4x - 36 = x

To isolate x, we can subtract x from both sides of the equation:

4x - x - 36 = 0

Now, combine like terms:

3x - 36 = 0

Next, add 36 to both sides of the equation:

3x = 36

Finally, divide by 3 to solve for x:

x = 36 / 3 x = 12

So, there were 12 kilograms of cereal in each box originally.