Question

В одном ящике было в 5 раз больше свеклы , чем во втором .Когда в первый ящик досыпали ещё 4 кг свеклы ,а во второй -12 кг , в обоих ящиках свеклы стало поровну .Сколько килограммов свеклы было во втором ящике первоначально ?

Answer 1

1 ящик-5х кг
2 ящик-х кг
5х+4=х+12
4х=8
х=2

ответ:2 кг было во 2 ящике первоначально

Answer 2

Problem Analysis

We are given two boxes, and initially, the first box contains 5 times more beets than the second box. After adding 4 kg of beets to the first box and 12 kg of beets to the second box, the total amount of beets in both boxes becomes equal. We need to determine the initial amount of beets in the second box.

Solution

Let's assume the initial amount of beets in the second box is x kg. According to the problem, the first box initially contains 5 times more beets than the second box, so the initial amount of beets in the first box is 5x kg.

After adding 4 kg of beets to the first box, the total amount of beets in the first box becomes 5x + 4 kg. After adding 12 kg of beets to the second box, the total amount of beets in the second box becomes x + 12 kg.

According to the problem, the total amount of beets in both boxes becomes equal. Therefore, we can set up the following equation:

5x + 4 = x + 12

Now, let's solve this equation to find the value of x.

5x + 4 = x + 12

Subtract x from both sides:

4x + 4 = 12

Subtract 4 from both sides:

4x = 8

Divide both sides by 4:

x = 2

Therefore, the initial amount of beets in the second box was 2 kg.

Answer

The initial amount of beets in the second box was 2 kg.