Question

В первой фляге молока в 3 раза больше, чем во второй. Когда из первой фляги перелили вл вторую 15 л, молока в обеих флягах стало поровну. Сколько литров молока в каждой фляге первоначально? пожалуйста, помогите, если можно с объяснением!!!

Answer 1

Problem Analysis

We are given two bottles of milk, and the amount of milk in the first bottle is three times the amount in the second bottle. When 15 liters of milk are poured from the first bottle into the second bottle, the amount of milk becomes equal in both bottles. We need to determine the initial amount of milk in each bottle.

Solution

Let's assume the initial amount of milk in the second bottle is x liters. According to the problem, the amount of milk in the first bottle is three times the amount in the second bottle, so the initial amount of milk in the first bottle is 3x liters.

When 15 liters of milk are poured from the first bottle into the second bottle, the amount of milk becomes equal in both bottles. This means that the second bottle now contains x + 15 liters of milk, and the first bottle contains 3x - 15 liters of milk.

Since the amount of milk is now equal in both bottles, we can set up the following equation:

x + 15 = 3x - 15

Simplifying the equation, we get:

2x = 30

Dividing both sides of the equation by 2, we find:

x = 15

Therefore, the initial amount of milk in the second bottle is 15 liters, and the initial amount of milk in the first bottle is three times that, which is 3 * 15 = 45 liters.

So, initially, there are 45 liters of milk in the first bottle and 15 liters of milk in the second bottle.

Answer

The initial amount of milk in each bottle is 45 liters in the first bottle and 15 liters in the second bottle.