Question

ТЕКСТ ЗАДАНИЯ Решите задачу, составив систему уравнений: За 4 кг яблок и 5 кг апельсинов заплатили 5425 тенге. Сколько стоит 1 кг каждого вида фруктов, если 2 кг яблок дешевле 3 кг апельсин на 1165 тенге? Запишите: 1)первое уравнение 2) второе уравнение 3) ответ ЗАГРУЗКА ФАЙЛОВ Добавить файл Назад Вперед

Answer 1

Ответ:

475 и 705

Пошаговое объяснение:

объяснение на фото

Answer 2

Problem Analysis

To solve this problem, we need to set up a system of equations based on the given information. Let's define the following variables: - Let x be the cost of 1 kg of apples. - Let y be the cost of 1 kg of oranges.

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

1) The total cost of 4 kg of apples and 5 kg of oranges is 5425 tenge: 4x + 5y = 5425.

2) The cost of 2 kg of apples is 1165 tenge less than the cost of 3 kg of oranges: 2x = 3y - 1165.

Let's solve this system of equations to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use the method of substitution or elimination. In this case, let's use the method of substitution.

From equation 2), we can express x in terms of y: x = (3y - 1165) / 2.

Substituting this expression for x into equation 1), we get: 4 * ((3y - 1165) / 2) + 5y = 5425.

Simplifying the equation: 6y - 2330 + 5y = 5425, 11y - 2330 = 5425, 11y = 7755, y = 705.

Substituting the value of y back into equation 2), we can find x: x = (3 * 705 - 1165) / 2, x = 105.

Answer

Therefore, the cost of 1 kg of apples is 105 tenge and the cost of 1 kg of oranges is 705 tenge.

Summary

- First equation: 4x + 5y = 5425. - Second equation: 2x = 3y - 1165. - The cost of 1 kg of apples is 105 tenge and the cost of 1 kg of oranges is 705 tenge.