Question

один килограмм печенья дешевле килограмма конфет на 10 грн. за 7 кг печенья заплатили столько сколько стоит 2 кг конфет. сколько стоит 1кг печенья и сколько - 1 кг конфет

Answer 1

Calculation of the Prices

To solve this problem, we need to determine the price of 1 kilogram of cookies and the price of 1 kilogram of candies. We are given that 1 kilogram of cookies is 10 UAH cheaper than 1 kilogram of candies.

Let's assume that the price of 1 kilogram of candies is x UAH. According to the given information, the price of 1 kilogram of cookies would be (x - 10) UAH.

Next, we are told that 7 kilograms of cookies were purchased for the same amount as 2 kilograms of candies. This can be expressed as an equation:

7 * (x - 10) = 2 * x

Now, let's solve this equation to find the value of x, which represents the price of 1 kilogram of candies.

7x - 70 = 2x

5x = 70

x = 14

Therefore, the price of 1 kilogram of candies is 14 UAH.

To find the price of 1 kilogram of cookies, we can substitute the value of x into the expression (x - 10):

14 - 10 = 4

Therefore, the price of 1 kilogram of cookies is 4 UAH.

Answer

Based on the given information, 1 kilogram of cookies costs 4 UAH, and 1 kilogram of candies costs 14 UAH.