Question

В 1-м ящике было в 4 раза больше яблок, чем во 2-м. Когда из 1-го ящика взяли 10 кг яблок, а во 2-ой положили еще 8 кг, то в обоих ящиках стало поровну. Сколько кг яблок было в каждом ящике сначала? пожалуйста помогите

Answer 1

4x - 10= x+8
4x-x=8+10
3x=18
x=18/3
x=6

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial number of kilograms of apples in each of the two boxes. We are given that the first box initially contained four times as many apples as the second box. After taking 10 kg of apples from the first box and adding 8 kg of apples to the second box, the total amount of apples in both boxes became equal.

Let's assume that the initial number of kilograms of apples in the second box is x. According to the problem, the first box initially contained four times as many apples as the second box, so the initial number of kilograms of apples in the first box is 4x.

Solution

To find the solution, we can set up an equation based on the given information and solve for x.

The equation can be set up as follows:

4x - 10 = x + 8

Simplifying the equation:

4x - x = 8 + 10

3x = 18

x = 6

Therefore, the initial number of kilograms of apples in the second box is 6 kg. Since the first box initially contained four times as many apples as the second box, the initial number of kilograms of apples in the first box is 4 * 6 = 24 kg.

Answer

The initial number of kilograms of apples in each box was 24 kg in the first box and 6 kg in the second box.

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