Question

Добрый день! Помогите пжл с решение задачи: из кувшина отлили 1\3 молока, а потом еще 0.5 л .После этого в кувшине осталось 3.5 л молока. Сколько литров молока было в кувшине? если можно подробное решение. По логике было 6 л, а вот как в решение записать у меня не получается. Помогите пжл

Answer 1

Интересная логика, а как понял? Можно от обратки: 3,5+0,5=4 - это 2/3, значит 1/3 - 4/2=2 и 4+2=6 было шесть

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial amount of milk in the jug. We are given that 1/3 of the milk was poured out, then an additional 0.5 liters were poured out, and finally, 3.5 liters of milk remained in the jug. We need to find the initial amount of milk in the jug before any was poured out.

Solution

Let's break down the problem step by step:

1. We know that 1/3 of the milk was poured out. This means that 2/3 of the milk remained in the jug. 2. Then, an additional 0.5 liters were poured out. This means that 2/3 - 0.5 liters of milk remained in the jug. 3. Finally, we are told that 3.5 liters of milk remained in the jug. This means that 2/3 - 0.5 = 3.5 liters.

To find the initial amount of milk in the jug, we need to solve the equation:

2/3 - 0.5 = 3.5

Let's solve this equation step by step:

1. Subtract 0.5 from 2/3: 2/3 - 0.5 = 2/3 - 3/6 = 4/6 - 3/6 = 1/6

2. Now we have the equation: 1/6 = 3.5

To solve for the initial amount of milk, we need to multiply both sides of the equation by 6:

1/6 * 6 = 3.5 * 6

1 = 21

This is not a valid solution, which means there might be an error in the problem statement or our calculations. Let's double-check our calculations.

Double-Checking the Calculations

We are given that 1/3 of the milk was poured out, then an additional 0.5 liters were poured out, and finally, 3.5 liters of milk remained in the jug.

Let's calculate the amount of milk poured out step by step:

1. 1/3 of the milk was poured out. This means that 2/3 of the milk remained in the jug. 2. Then, an additional 0.5 liters were poured out. This means that 2/3 - 0.5 liters of milk remained in the jug. 3. Finally, we are told that 3.5 liters of milk remained in the jug.

Let's calculate the amount of milk remaining in the jug after each step:

1. 2/3 of the milk remained in the jug after pouring out 1/3 of the milk. 2/3 * x = x/3

2. After pouring out an additional 0.5 liters, the amount of milk remaining in the jug is: (2/3 * x) - 0.5

3. Finally, we are told that 3.5 liters of milk remained in the jug: (2/3 * x) - 0.5 = 3.5

Now, let's solve this equation to find the initial amount of milk in the jug.

Solving the Equation

To solve the equation (2/3 * x) - 0.5 = 3.5, we can follow these steps:

1. Add 0.5 to both sides of the equation: (2/3 * x) - 0.5 + 0.5 = 3.5 + 0.5 (2/3 * x) = 4

2. Multiply both sides of the equation by 3/2 to isolate x: (2/3 * x) * (3/2) = 4 * (3/2) x = 6

Therefore, the initial amount of milk in the jug was 6 liters.

Conclusion

The initial amount of milk in the jug was 6 liters. This can be calculated by subtracting the amount of milk poured out from the amount of milk that remained in the jug. The equation (2/3 * x) - 0.5 = 3.5 is used to solve for x, which represents the initial amount of milk in the jug.