Question

Директор нанял двух работников и пообещал им по окончании работы дать каждому по 5 литров лимонада,Когда работа была сделана,директор велел отдать работникам 3 кувшина.Один кувшин с 10 литрами лимонада, а два других вместимостью 7 и 3 литров- пустые,Других кувшинов у работников не было, однако они разделили лимонад так, что каждый унес домой ровно по 5 литров, и маленький кувшин пустым вернули директору.Как работники могли это сделать?

Answer 1

Наверное они его обманули)))

Answer 2

Problem Analysis

The director promised each worker 5 liters of lemonade after they finished their work. However, when the work was done, the director only gave them 3 pitchers of lemonade. One pitcher had 10 liters of lemonade, while the other two pitchers had capacities of 7 and 3 liters, respectively, and were empty. The workers managed to divide the lemonade in such a way that each took exactly 5 liters home and returned the small pitcher empty to the director. We need to determine how the workers accomplished this.

Solution

To solve this problem, we need to find a way to distribute the lemonade among the workers so that each worker takes exactly 5 liters home and the small pitcher is returned empty. Let's break down the steps:

1. The workers have three pitchers: one with 10 liters and two with capacities of 7 and 3 liters, respectively. 2. The workers need to divide the lemonade in such a way that each takes exactly 5 liters home. 3. The small pitcher, with a capacity of 3 liters, needs to be returned empty to the director.

To achieve this, the workers can follow these steps:

1. Pour 5 liters of lemonade from the 10-liter pitcher into the 7-liter pitcher. This leaves 5 liters in the 10-liter pitcher and fills the 7-liter pitcher to its maximum capacity. 2. Pour the contents of the 7-liter pitcher into the 3-liter pitcher. This leaves 2 liters in the 7-liter pitcher and fills the 3-liter pitcher to its maximum capacity. 3. Empty the 3-liter pitcher. 4. Pour the remaining 2 liters from the 7-liter pitcher into the empty 3-liter pitcher. 5. Pour the 5 liters of lemonade from the 10-liter pitcher into the now-empty 7-liter pitcher. 6. Pour 1 liter from the 7-liter pitcher into the 3-liter pitcher. This leaves 4 liters in the 7-liter pitcher and fills the 3-liter pitcher to its maximum capacity. 7. Each worker takes the 5 liters of lemonade from the 7-liter pitcher, leaving 4 liters in the pitcher. 8. The workers return the empty 3-liter pitcher to the director.

By following these steps, the workers can divide the lemonade in such a way that each takes exactly 5 liters home and the small pitcher is returned empty to the director.

Conclusion

The workers were able to divide the lemonade and take exactly 5 liters each by following the steps outlined above. By pouring the lemonade between the pitchers strategically, they were able to achieve the desired distribution.