Question

Один кілограм цукерок дорожчий від кілограма печива на 26грн. За 8 кг цукерок заплатили стільки, скільки за 12: кг печива. Яка ціна цукерок?Варианты ответов 80 грн 72 грн 78 грн 52 грн СРОЧНО ДАЮ 20 БАЛЛОВ ​

Answer 1

Ответ:

насколько я понимаю скорей всего ето 72грн

Пошаговое объяснение:

Answer 2

To find the price of the chocolates, we can set up a proportion using the given information. Let's assume the price of 1 kilogram of chocolates is x (in hryvnias).

According to the problem, 1 kilogram of chocolates is more expensive than 1 kilogram of cookies by 26 hryvnias. This can be represented as:

1 kilogram of chocolates = 1 kilogram of cookies + 26 hryvnias

Now, we can set up a proportion using the given information:

1 kilogram of chocolates / 1 kilogram of cookies = x hryvnias / (x - 26) hryvnias

To find the price of 8 kilograms of chocolates, we can multiply both sides of the proportion by 8:

8 * (1 kilogram of chocolates / 1 kilogram of cookies) = 8 * (x hryvnias / (x - 26) hryvnias)

Simplifying the equation:

8 * (x / (x - 26)) = 8x / (x - 26) = 8x / x - 208 / (x - 26)

Now, we can set up another proportion to find the price of 12 kilograms of cookies:

8x / (x - 26) = 12 * 1 kilogram of cookies / 1 kilogram of cookies

Simplifying the equation:

8x / (x - 26) = 12

To solve this equation, we can cross-multiply:

8x = 12 * (x - 26)

Expanding the equation:

8x = 12x - 312

Rearranging the equation:

12x - 8x = 312

4x = 312

Dividing both sides by 4:

x = 78

Therefore, the price of 1 kilogram of chocolates is 78 hryvnias.

To find the price of 8 kilograms of chocolates, we can substitute x = 78 into the equation:

8 * (78 / (78 - 26)) = 8 * (78 / 52) = 12 * 3 = 36

Therefore, the price of 8 kilograms of chocolates is 36 hryvnias.

So, the correct answer is 78 грн.