Question

Помогите пожалуйста решить задачу! Для кафе купили 3 кг сыра и 4 кг ветчины по одинаковой цене. За всю покупку заплатили 3395 р. Сколько рублей в отдельности заплатили за сыр и сколько за ветчину?

Answer 1

1)3+4=7-всего кг купили
2)3395:7=485(рублей)-стоит 1 кг
3)485*3=1455(рублей)-сыр
4)485*4=1940(рублей)-ветчина

Answer 2

Task Analysis

To solve the problem, we need to find the individual prices of cheese and ham. We know that 3 kg of cheese and 4 kg of ham were purchased at the same price, and the total cost was 3395 rubles.

Solution

Let's assume the price per kilogram of both cheese and ham is x rubles.

The total cost of cheese would be 3 kg multiplied by the price per kilogram, which is 3x rubles. The total cost of ham would be 4 kg multiplied by the price per kilogram, which is 4x rubles.

According to the problem, the total cost of the purchase is 3395 rubles. Therefore, we can set up the following equation:

3x + 4x = 3395

Simplifying the equation:

7x = 3395

To find the value of x, we divide both sides of the equation by 7:

x = 3395 / 7

Now, we can calculate the value of x to find the price per kilogram of cheese and ham.

Calculation

Let's calculate the value of x:

x = 3395 / 7 = 485

Therefore, the price per kilogram of both cheese and ham is 485 rubles.

Answer

Based on the calculations, the price per kilogram of cheese and ham is 485 rubles.

To find the total cost of cheese, we multiply the price per kilogram (485 rubles) by the weight of cheese (3 kg):

Total cost of cheese = 485 rubles/kg * 3 kg = 1455 rubles

To find the total cost of ham, we multiply the price per kilogram (485 rubles) by the weight of ham (4 kg):

Total cost of ham = 485 rubles/kg * 4 kg = 1940 rubles

Therefore, the amount paid for cheese is 1455 rubles, and the amount paid for ham is 1940 rubles.

Please let me know if you need any further assistance!