Question

Решите задачу плиз: В первом ящике было в 5 раз больше яблок, чем во втором. Когда из первого ящика взяли 7 кг яблок, а во второй добавили 5 кг, то в ящиках яблок стало поровну. Сколько килограммов яблок было в каждом ящике сначала???????

Answer 1

Пусть во II ящике было х (кг) яблок, тогда в I ящике 5х (кг):

1) 5х - 7 = х + 5

  5х - х = 5 + 7

  4х = 12

  х = 12 : 4

  х = 3 кг - во II

2) 5 * 3 = 15 кг - в I

Ответ: в первом ящике сначала было 15 кг, а во втором 5 кг яблок.

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of kilograms of apples in each box initially. We are given that the first box initially had 5 times more apples than the second box. After taking 7 kg of apples from the first box and adding 5 kg to the second box, the number of apples became equal in both boxes.

Solution

Let's assume that the number of kilograms of apples in the second box is x. According to the problem, the first box initially had 5 times more apples than the second box, so the number of kilograms of apples in the first box is 5x.

After taking 7 kg of apples from the first box, the number of kilograms of apples in the first box becomes 5x - 7. After adding 5 kg to the second box, the number of kilograms of apples in the second box becomes x + 5.

Since the number of apples became equal in both boxes, we can set up the following equation:

5x - 7 = x + 5

Simplifying the equation, we get:

4x = 12

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

x = 3

Therefore, the number of kilograms of apples in the second box initially is 3 kg. Since the first box initially had 5 times more apples than the second box, the number of kilograms of apples in the first box initially is 5 * 3 = 15 kg.

Answer

Initially, there were 15 kilograms of apples in the first box and 3 kilograms of apples in the second box.