Question

За п'ять кг огірків та два кг капусти сплатили 536 грн. Знайти ціну 1 кг огірків та 1 кг капусти, якщо кілограм капусти дешевше двох кілограмів огірків на 92 грн​

Answer 1

To find the price of 1 kg of cucumbers and 1 kg of cabbage, we can set up a system of equations based on the given information.

Let's assume the price of 1 kg of cucumbers is x and the price of 1 kg of cabbage is y.

From the given information, we know that: - 5 kg of cucumbers cost 536 UAH, so 5x = 536. - 2 kg of cabbage cost 536 - 92 UAH (because cabbage is cheaper than twice the price of cucumbers), so 2y = 536 - 92.

Now we can solve this system of equations to find the values of x and y.

Solving the System of Equations:

From the first equation, we can solve for x: 5x = 536 x = 536 / 5 x = 107.2 UAH

From the second equation, we can solve for y: 2y = 536 - 92 2y = 444 y = 444 / 2 y = 222 UAH

Answer:

Therefore, the price of 1 kg of cucumbers is 107.2 UAH and the price of 1 kg of cabbage is 222 UAH.

Please note that the prices are rounded to one decimal place.

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