Question

8. В одному ящику було в 5 разів більше картоплі, ніж у другому. Коли в перший ящик дописали ще 4 кг картоплі, а в другий – 12 кг, то в обох ящиках картоплі стало порівну. Скільки кілограмів картоплі було в другому ящику спочатку?

Answer 1

Нехай 2 ящик мав Х кг, тоді 5х кг - 1 ящик, х+12 кг - стало у 2 ящику, 5х+4 кг - стало у 1 ящику.
Рівняння:
х+12=5х+4
х-5х=4-12
-4х=-8
х=-8 : -4
х= 2 (кг) - у 2 ящику
Відповідь: 2 кг

Answer 2

Problem Analysis

We are given two boxes, one containing 5 times more potatoes than the other. After adding 4 kg of potatoes to the first box and 12 kg to the second box, the total amount of potatoes in both boxes became equal. We need to find the initial amount of potatoes in the second box.

Solution

Let's assume the initial amount of potatoes in the second box is x kg. Then the initial amount of potatoes in the first box would be 5x kg.

After adding 4 kg of potatoes to the first box, the total amount of potatoes in the first box becomes 5x + 4 kg. After adding 12 kg of potatoes to the second box, the total amount of potatoes in the second box becomes x + 12 kg.

According to the problem, the total amount of potatoes in both boxes is equal. Therefore, we can set up the following equation:

5x + 4 = x + 12

Simplifying the equation, we get:

4x = 8

Dividing both sides of the equation by 4, we find:

x = 2

Therefore, the initial amount of potatoes in the second box was 2 kg.

Answer

The initial amount of potatoes in the second box was 2 kg.