Question

Помогите решить задачу ! пожалуйстаВ первом мешке в 3 раза больше картофеля, чем во втором. После того, как из первого мешка взяли 30кг картофеля, а во второй насыпали ещё 10кг, в обоих мешках стало поровну. Сколько килограммов картофеля было в двух мешках первоначально?

Answer 1

1)Пусть х кг картофеля - во 2-ом мешке, а (3х) кг - в 1-ом. Т. К после того как из первого мешка взяли 30кг картофеля, а во второй насыпали ещё 10кг в обеих мешках картофеля стало поровну, то сост. и решим ур-ние.
х+10=3х-30
-3х+х=-30-10
-2х=-40
2х=40
х=20(кг) -во 2-ом мешке.
2)3х=3*20=60(кг) -в 1-ом мешке.

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial amount of potatoes in the two bags. We are given that the first bag contains three times as many potatoes as the second bag. After taking out 30 kg of potatoes from the first bag and adding 10 kg to the second bag, the two bags have an equal amount of potatoes. We need to find the initial amount of potatoes in both bags.

Solution

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

After taking out 30 kg of potatoes from the first bag, the remaining amount of potatoes in the first bag is 3x - 30 kg. Adding 10 kg to the second bag, the amount of potatoes in the second bag becomes x + 10 kg.

Since the two bags have an equal amount of potatoes, we can set up the following equation:

3x - 30 = x + 10

Simplifying the equation, we get:

2x = 40

Dividing both sides of the equation by 2, we find:

x = 20

Therefore, the initial amount of potatoes in the second bag is 20 kg, and the initial amount of potatoes in the first bag is three times that, which is 60 kg.

So, the answer is that there were initially 60 kg of potatoes in the first bag and 20 kg of potatoes in the second bag.

Answer

There were initially 60 kg of potatoes in the first bag and 20 kg of potatoes in the second bag.