Question

За 5 кг печива і 2 кг цукерок заплатили 345 грн. Скільки коштує 1 кг печива і скільки 1 кг цукерок, якщо печиво дешевше цукерок на 15 грн?

Answer 1

Ответ:

45 грн стоит 1 кг печенья

60 грн стоит 1 кг цукерок

Пошаговое объяснение:

Пусть х грн стоит 1 кг печенья, тогда х+15 грн стоит 1 кг цукерок

Составим уравнение:

5х + 2(х+15) = 345

5х + 2х + 30 = 345

7х = 345 - 30

7х = 315   х = 315/7    х = 45 грн стоит 1 кг печенья

45 + 15 = 60 грн стоит 1 кг цукерок

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5*45 + 2*60 = 225 + 120 = 345 грн 5 кг печива і 2 кг цукерок

Answer 2

To find the cost of 1 kg of cookies and 1 kg of candies, we can set up a system of equations based on the given information.

Let's assume the cost of 1 kg of cookies is x and the cost of 1 kg of candies is y.

From the given information, we know that: - 5 kg of cookies and 2 kg of candies were purchased for a total of 345 UAH. - Cookies are 15 UAH cheaper per kg compared to candies.

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

Equation 1: 5x + 2y = 345 (since 5 kg of cookies and 2 kg of candies were purchased for 345 UAH) Equation 2: x = y - 15 (since cookies are 15 UAH cheaper per kg compared to candies)

To solve this system of equations, we can substitute Equation 2 into Equation 1:

5(y - 15) + 2y = 345 5y - 75 + 2y = 345 7y - 75 = 345 7y = 420 y = 60

Now that we have the value of y, we can substitute it back into Equation 2 to find the value of x:

x = y - 15 x = 60 - 15 x = 45

Therefore, 1 kg of cookies costs 45 UAH and 1 kg of candies costs 60 UAH.

Please let me know if there's anything else I can help you with!