Question

Умоляю решите задачу. За 1,8 килограмм огурцов и 2,4 кг помидоров заплатили 2,16 тысяч рублей известно что 1 кг помидоров дороже одного килограмма огурцов на 0,2 тыс рублей сколько стоит 1 килограмм помидоров

Answer 1

1.8х+2.4у=2.16
у=х+0.2

1.8х+2.4*(х+0.2)=2.16
1.8х+2.4х+0.48=2.16
420х=216-48
х=168/420=0.4
у=0.4+0.2=0.6

Answer 2

Problem Analysis

We are given the prices of cucumbers and tomatoes, as well as the total amount paid for a certain quantity of each. We need to determine the price per kilogram of tomatoes.

Solution

Let's assume the price per kilogram of cucumbers is x rubles. According to the given information, the price per kilogram of tomatoes is x + 0.2 rubles.

We can set up the following equation based on the given information:

1.8x + 2.4(x + 0.2) = 2.16

Now, let's solve this equation to find the value of x.

Calculation

Expanding the equation:

1.8x + 2.4x + 0.48 = 2.16

Combining like terms:

4.2x + 0.48 = 2.16

Subtracting 0.48 from both sides:

4.2x = 1.68

Dividing both sides by 4.2:

x = 0.4

So, the price per kilogram of cucumbers is 0.4 rubles.

To find the price per kilogram of tomatoes, we add 0.2 rubles to the price of cucumbers:

0.4 + 0.2 = 0.6

Therefore, the price per kilogram of tomatoes is 0.6 rubles.

Answer

The price per kilogram of tomatoes is 0.6 rubles.