Question

Решите задачу:Купили 1.2 кг конфет и 0.8 кг печенья. За всю покупку заплатили 5.96 тыс. руб. Известно, что 1 кг печенья дешевле 1 кг конфет на 1.3 тыс. руб.. Сколько стоит 1 кг. конфет?

Answer 1

Х-конфет у-печен.,....

Answer 2

Пусть 1 кг конфет стоит х руб, а килограмм печенья у руб. Составим систему уравнений.
  х-у=1,3
1,2х+0,8у=5,96

х=у+1.3
1,2(у+1,3)+0,8у=5,96
1,2у+1,56+0,8у=5,96
2у=4,4
у=2,2
х=3,5

Ответ: 3,5 тыс. руб.

Answer 3

To solve this problem, we can set up a system of equations based on the given information.

Let's assume the cost of 1 kg of candy is x thousand rubles. Since 1 kg of cookies is 1.3 thousand rubles cheaper than 1 kg of candy, the cost of 1 kg of cookies would be (x - 1.3) thousand rubles.

According to the problem, we bought 1.2 kg of candy and 0.8 kg of cookies, and the total cost was 5.96 thousand rubles.

Using this information, we can set up the following equation:

(1.2 * x) + (0.8 * (x - 1.3)) = 5.96

Now, let's solve this equation to find the value of x, which represents the cost of 1 kg of candy.

Solving the Equation:

Expanding the equation, we get:

1.2x + 0.8x - 1.04 = 5.96

Combining like terms, we have:

2x - 1.04 = 5.96

Adding 1.04 to both sides of the equation, we get:

2x = 7

Dividing both sides of the equation by 2, we find:

x = 3.5

Therefore, the cost of 1 kg of candy is 3.5 thousand rubles.

Please note that this solution is based on the information provided in the problem statement.