Question

В первом мешке было в три раза больше картофеля, чем во втором.после того как из второго мешка высыпали в первый 6 кг картофеля,то во втором мешке стало в пять раз меньше картофеля, чем в первом. сколько картофеля было в каждом мешке первоначально?

Answer 1

Х - кг картофеля во втором мешке
3х - кг картофеля в первом
х-6 - стало во втором
3х+6 - стало в первом
5(х-6)=3х+6
5х-30=3х+6
5х-3х=6+30
2х=36
х=36:2
х=18 (кг) было во втором
3*18=54 (кг) было в первом
Ответ: в первом мешке было 54 кг картофеля, во втором - 18 кг

Проверка:
18-6=12 (кг)
54+6=60 (кг)
60:12=5 (раз) (что соответствует условию)

Answer 2

Problem Analysis

We are given two bags of potatoes. The first bag initially contains three times as much potatoes as the second bag. After transferring 6 kg of potatoes from the second bag to the first bag, the second bag ends up with five times less potatoes than the first bag. We need to determine the initial amount of potatoes in each bag.

Solution

Let's assume the initial amount of potatoes in the second bag is x kg. According to the problem, the first bag initially contains three times as much potatoes as the second bag, so the initial amount of potatoes in the first bag is 3x kg.

After transferring 6 kg of potatoes from the second bag to the first bag, the second bag ends up with five times less potatoes than the first bag. This means that the second bag now contains 1/5 of the potatoes in the first bag.

We can set up the following equation to represent the given information:

3x - 6 = (1/5)(3x)

Now, let's solve this equation to find the value of x.

3x - 6 = (3/5)x

Multiplying both sides of the equation by 5 to eliminate the fraction:

15x - 30 = 3x

Subtracting 3x from both sides:

12x - 30 = 0

Adding 30 to both sides:

12x = 30

Dividing both sides by 12:

x = 30/12 = 2.5

So, the initial amount of potatoes in the second bag is 2.5 kg. Since the first bag initially contains three times as much potatoes as the second bag, the initial amount of potatoes in the first bag is 3 * 2.5 = 7.5 kg.

Therefore, the initial amount of potatoes in each bag is 7.5 kg in the first bag and 2.5 kg in the second bag.

Answer

The initial amount of potatoes in the first bag is 7.5 kg, and the initial amount of potatoes in the second bag is 2.5 kg.