Question

Помогите пожалуйста. В одному мішку було 60 кг цукру, а в другому 100 кг. Коли з другого мішка взяли в 4 рази більше цукру, ніж із першого, то в першому залишилось у 2 рази більше цукру, ніж у другому. Скільки кілограмів цукру взяли з кожного мішка?

Answer 1

Ответ:

Пошаговое объяснение:

Взяли из 1 мешка = х кг
Взяли из 2 мешка = 4х кг

60 - х = 2(1 00 - 4х)
60 - х = 200 - 8х
-х + 8х = 200 - 60
7х = 140
х = 140 : 7
х = 20

Взяли из 1 мешка = (х) = 20 кг
Взяли из 2 мешка = (4х) = 4 * 20 = 80 кг

60 - 20 = 40 (кг) - стало в 1 мешке
100 - 80 = 20 (кг) - стало во 2 мешке
40 : 20 = 2 (раза) - больше стало в 1 мешке

Answer 2

Solution:

Let's solve the problem step by step.

1. Let's denote the amount of sugar taken from the first bag as x kg and from the second bag as y kg.

2. We are given that there were 60 kg of sugar in the first bag and 100 kg of sugar in the second bag.

3. According to the problem, when 4 times more sugar is taken from the second bag than from the first bag, the amount of sugar left in the first bag is twice the amount left in the second bag.

4. We can form the following equations based on the given information:

- The amount of sugar taken from the second bag is 4 times more than from the first bag: y = 4x - The amount of sugar left in the first bag is twice the amount left in the second bag: 60 - x = 2(100 - y)

5. Now, let's solve these equations to find the values of x and y.

- Substituting the value of y from the first equation into the second equation: 60 - x = 2(100 - 4x)

- Simplifying the equation: 60 - x = 200 - 8x 7x = 140 x = 20

- Using the value of x to find y: y = 4x = 4 * 20 = 80

Answer:

The amount of sugar taken from each bag is: - 20 kg from the first bag - 80 kg from the second bag