Question

Под разгрузку подано 2 вагона с апельсинами. В одном вагоне 856 коробок с апельсинами, а в другом 712 с одинаковой массой апельсинов. Какова масса апельсинов в каждом вагоне, если в первом вагоне на 1728 кг больше, чем во втором

Answer 1

1) 856 - 712 = 144 (кор.) - нас столько больше в первом вагоне, чем во втором.
2) 1728 : 144 = 12 (кг) - в одной коробке.
3) 856 · 12 = 10272 (кг) - апельсинов в первом вагоне.
4) 712 · 12 = 8544 (кг) - апельсинов во втором вагоне.
Ответ: 10272 кг и 8544 кг.

Answer 2

Problem Analysis

We are given that there are two wagons with oranges. One wagon contains 856 boxes of oranges, while the other wagon contains 712 boxes of oranges with the same total mass. We need to determine the mass of oranges in each wagon, given that the first wagon has 1728 kg more than the second wagon.

Solution

Let's assume the mass of oranges in the second wagon is x kg.

According to the problem, the mass of oranges in the first wagon is 1728 kg more than the mass in the second wagon. Therefore, the mass of oranges in the first wagon is x + 1728 kg.

We also know that the total mass of oranges in the first wagon is the mass of each box multiplied by the number of boxes, which is 856 boxes. Similarly, the total mass of oranges in the second wagon is the mass of each box multiplied by the number of boxes, which is 712 boxes.

Let's represent the mass of each box of oranges as y kg.

Based on the above information, we can set up the following equations:

Equation 1: (x + 1728) kg = 856y kg Equation 2: x kg = 712y kg

To solve these equations, we can use substitution. We can solve Equation 2 for x and substitute it into Equation 1:

Substituting Equation 2 into Equation 1: (712y + 1728) kg = 856y kg

Simplifying the equation: 856y - 712y = 1728 kg 144y = 1728 kg y = 1728 kg / 144 y = 12 kg

Now that we have the value of y, we can substitute it back into Equation 2 to find the value of x:

x kg = 712y kg x kg = 712 * 12 kg x kg = 8544 kg

Therefore, the mass of oranges in the first wagon is 8544 kg, and the mass of oranges in the second wagon is 12 kg.

Answer

The mass of oranges in each wagon is as follows: - The first wagon contains 8544 kg of oranges. - The second wagon contains 12 kg of oranges.

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