Question

внимание проверка на ум: фермер приготовил адыгейский сыр и брынзу. Оказалось, что масса адыгейского сыра относится к массе брынзы как 16:15, также адыгейского сыра было приготовлено на 14 кг больше, чем брынзы. Весь этот товар удачно был распродан на ярмарке. Адыгейский сыр фермер продавал по цене 250 р., а брынзу — по цене 290 р. Какую выручку получил фермер за проданные сыр и брынзу?

Answer 1

Ответ:

112840

Пошаговое объяснение:

адыгейского сыра-16x, брынзы-15x

16x-15x=14

x=14

16·14·250+15·14·290=140·(16·25+14·29)=140·(400+406)=140·806=112840

Answer 2

To solve this problem, we need to determine the masses of Adyghe cheese and feta cheese and then calculate the total revenue obtained by the farmer.

Let's assume the mass of feta cheese is x kg. According to the given information, the mass of Adyghe cheese is 16/15 times the mass of feta cheese, and the mass of Adyghe cheese is 14 kg more than the mass of feta cheese.

So, we can set up the following equations:

Mass of Adyghe cheese = (16/15) * Mass of feta cheese Mass of Adyghe cheese = Mass of feta cheese + 14 kg

To find the mass of feta cheese, we can solve these equations simultaneously.

Let's solve the equations:

(16/15) * x = x + 14

To eliminate the fraction, we can multiply both sides of the equation by 15:

16x = 15(x + 14)

16x = 15x + 210

16x - 15x = 210

x = 210

Therefore, the mass of feta cheese is 210 kg.

Now, let's calculate the revenue obtained by the farmer.

The price of Adyghe cheese is 250 rubles per kg, and the price of feta cheese is 290 rubles per kg.

Revenue from Adyghe cheese = Mass of Adyghe cheese * Price of Adyghe cheese Revenue from Adyghe cheese = (16/15) * 210 * 250

Revenue from feta cheese = Mass of feta cheese * Price of feta cheese Revenue from feta cheese = 210 * 290

Total revenue = Revenue from Adyghe cheese + Revenue from feta cheese

Let's calculate the total revenue:

Revenue from Adyghe cheese = (16/15) * 210 * 250 = 4480 rubles Revenue from feta cheese = 210 * 290 = 60900 rubles

Total revenue = 4480 + 60900 = 65380 rubles

Therefore, the farmer obtained a total revenue of 65380 rubles from selling the Adyghe cheese and feta cheese.