Question

Мама за 2 кг, помідорів і 1 кг огірків заплатила 8 грн. Якби вона купувала 1 кг помідорів і 2 кг огірків, то їй потрібно було б заплатити 7 грн. Скильки коштуэ 1 кг помодирив и скильки 1 кг ориркив ​

Answer 1

Ответ:

1кг огірків = 9,5

1кг помідорів = 12

Пошаговое объяснение:

1)2х + 3(х + 2,5)=55

2)2х+3х+7,5=55

3)5х+7,5=55

4)5х=55-7,5

5)5х=47,5

6)х=47,5:5

7)х=9,5 огірки

8)9,5+2,5=12 помідори

Перевірка:

9,5*2=19

12*3=36

19+36=55

Answer 2

To solve this problem, let's assume the cost of 1 kg of tomatoes is x and the cost of 1 kg of cucumbers is y.

According to the given information, when the mother bought 2 kg of tomatoes and 1 kg of cucumbers, she paid 8 UAH. This can be represented by the equation:

2x + y = 8 [[1]]

Similarly, if she bought 1 kg of tomatoes and 2 kg of cucumbers, she would have paid 7 UAH. This can be represented by the equation:

x + 2y = 7 [[2]]

To find the cost of 1 kg of tomatoes and 1 kg of cucumbers, we need to solve these two equations simultaneously.

Solving the Equations

To eliminate one variable, we can multiply equation [[2]] by 2:

2(x + 2y) = 2 * 7 2x + 4y = 14 [[3]]

Now we can subtract equation [[1]] from equation [[3]]:

(2x + 4y) - (2x + y) = 14 - 8 3y = 6

Dividing both sides of the equation by 3, we find:

y = 2

Now we can substitute the value of y back into equation [[1]] to find the value of x:

2x + 2 = 8 2x = 6 x = 3

Answer

Therefore, 1 kg of tomatoes costs 3 UAH and 1 kg of cucumbers costs 2 UAH.

Please note that the prices mentioned here are based on the given information and may not reflect the actual market prices.