Question

Решить задачу с помощью уравнения. В первом ящике было в 4 раза больше яблок, чем во втором. Сколько килограммов яблок было во втором ящике, если в нем было на 5,4 кг меньше, чем в первом?

Answer 1

Пусть Х ( кг ) было во втором ящике, тогда Х ( кг ) было в первом ящике 
Уравнение : 
4x - 5,4 = x 
3x = 5,4 
x = 1,8 ( кг ) было во втором ящике 
Ответ 1,8 кг

Answer 2

Пусть во втором ящике было X кг яблок, тогда в первом ящике 4X кг. По условию задачи во втором ящике было на 5,4 кг меньше чем в первом. Составим и решим уравнение:  4X - X = 5,4    3X = 5,4   X = 1,8

Answer 3

Problem Analysis

To solve this problem, we can set up an equation based on the given information. Let's denote the weight of apples in the second box as x kg. According to the problem, the weight of apples in the first box is 4 times greater than the weight in the second box, and the weight in the second box is 5.4 kg less than the weight in the first box.

Formulating the Equation

Based on the given information, we can set up the following equation:

Weight of apples in the first box = 4 * (Weight of apples in the second box) + 5.4

Solving the Equation

To find the weight of apples in the second box, we can solve the equation for x.

Weight of apples in the first box = 4x + 5.4

Let's solve this equation to find the value of x.

Solution

To solve the equation, we can follow these steps:

1. Subtract 5.4 from both sides of the equation: Weight of apples in the first box - 5.4 = 4x

2. Divide both sides of the equation by 4: (Weight of apples in the first box - 5.4) / 4 = x

Now, we can substitute the given value of the weight of apples in the first box into the equation and calculate the weight of apples in the second box.

Calculation

Let's assume the weight of apples in the first box is y kg. Substituting this value into the equation, we have:

(y - 5.4) / 4 = x

Now, let's substitute the given value of the weight of apples in the first box, which is 12 kg, into the equation:

(12 - 5.4) / 4 = x

Simplifying the equation:

6.6 / 4 = x

x ≈ 1.65

Therefore, the weight of apples in the second box is approximately 1.65 kg.

Answer

The weight of apples in the second box, if it was 5.4 kg less than the weight in the first box, and the weight in the first box was 4 times greater, is approximately 1.65 kg.