Question

Задача!!!!в двух мешках было по 50кг сахара.После того как из одного мешка взяли в 3 раза больше сахара,чем из другого,в нем осталось в 2 раза меньше сахара,чем в другом.Сколько сахара осталась в каждом мешке???ПОЖАЛУЙСТА!!!))))**

Answer 1

В каждом 20,40 кг сахара.

Answer 2

Problem Analysis

We have two bags of sugar, each weighing 50 kg. From one bag, we take out three times more sugar than from the other bag. After taking out the sugar, the remaining amount in one bag is two times less than the remaining amount in the other bag. We need to find out how much sugar is left in each bag.

Solution

Let's assume that the amount of sugar taken out from the first bag is x kg. Therefore, the amount of sugar taken out from the second bag is 3x kg.

According to the problem, the remaining amount of sugar in the first bag is two times less than the remaining amount in the second bag. This means that the remaining amount in the first bag is (50 - x) kg, and the remaining amount in the second bag is (50 - 3x) kg.

Now, we can set up an equation based on the given information:

(50 - x) = 2(50 - 3x)

Let's solve this equation to find the value of x and then calculate the remaining amount of sugar in each bag.

Calculation

Expanding the equation:

50 - x = 100 - 6x

Bringing like terms together:

5x = 50

Dividing both sides by 5:

x = 10

Now, we can substitute the value of x back into the equation to find the remaining amount of sugar in each bag:

Remaining amount in the first bag = 50 - x = 50 - 10 = 40 kg

Remaining amount in the second bag = 50 - 3x = 50 - 3(10) = 50 - 30 = 20 kg

Answer

Therefore, there are 40 kg of sugar left in the first bag and 20 kg of sugar left in the second bag.