Question

У першому бідноі було в 5 разів більше молока ніж у другому. Коли з першого бідона відліли 25 літрів, а в другий долили ще 15 л молока , то в обох бідонах молока стало порівну. Скільки літрів молока було в обох бідонах спочатку

Answer 1

5х литров молока было в первом бидоне, х литров - во втором бидоне

5х - 2 = х + 6

5х - х = 6 + 2

4х = 8

х = 8 : 4

х = 2 (л) молока было во втором бидоне

5 * 2 = 10 (л) молока было в первом бидоне

Проверка: 10 - 2 = 2 + 6

                         8 = 8

Ответ: в другому бiдонi спочатку було 2 лiтрiв молока.

Answer 2

Problem Analysis

We have two buckets, the first one containing 5 times more milk than the second one. When 25 liters of milk are poured out of the first bucket and 15 liters are added to the second bucket, both buckets have the same amount of milk. We need to determine the initial amount of milk in both buckets.

Solution

Let's assume the initial amount of milk in the second bucket is x liters. Since the first bucket contains 5 times more milk than the second bucket, the initial amount of milk in the first bucket is 5x liters.

When 25 liters of milk are poured out of the first bucket, the remaining amount of milk in the first bucket is 5x - 25 liters.

When 15 liters of milk are added to the second bucket, the total amount of milk in the second bucket becomes x + 15 liters.

According to the problem statement, the remaining milk in the first bucket is equal to the total milk in the second bucket. Therefore, we can set up the following equation:

5x - 25 = x + 15

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

5x - 25 = x + 15 4x = 40 x = 10

So, the initial amount of milk in the second bucket was 10 liters. Since the first bucket contains 5 times more milk, the initial amount of milk in the first bucket was 5 * 10 = 50 liters.

Therefore, there were initially 50 liters of milk in the first bucket and 10 liters of milk in the second bucket.

Answer

There were initially 50 liters of milk in the first bucket and 10 liters of milk in the second bucket.