Question

Фермер 1 день продал 220 кг яблук 1 сорта по цене 8,20 грн за 1 кг и 180 кг яблук 2 сорта.какова цена яблук за 1 кг 2 сорта если средняя цена яблук составила 7,57 грн за 1 кг.

Answer 1

(220*8,2+180х)/(220+180)=7,57
1804+180х=7,57*400
180х=3028-1804
х=1224:180
х=6,8(грн/кг) - стоимость яблок 2-го сорта

Answer 2

Calculation of the Price per Kilogram for Apples of the Second Sort

To calculate the price per kilogram for apples of the second sort, we need to determine the total cost of the apples and divide it by the total weight of the apples.

According to the information provided, the farmer sold 220 kg of apples of the first sort at a price of 8.20 UAH per kilogram and 180 kg of apples of the second sort. The average price of the apples was 7.57 UAH per kilogram.

Let's calculate the total cost of the apples:

- For the first sort: 220 kg * 8.20 UAH/kg = 1804 UAH - For the second sort: 180 kg * x UAH/kg

To find the price per kilogram for the second sort of apples (x), we can use the average price of 7.57 UAH per kilogram:

1804 UAH + 180 kg * x UAH/kg = (220 kg + 180 kg) * 7.57 UAH/kg

Simplifying the equation:

1804 UAH + 180 kg * x UAH/kg = 400 kg * 7.57 UAH/kg

Now, let's solve for x:

180 kg * x UAH/kg = (400 kg * 7.57 UAH/kg) - 1804 UAH

x = [(400 kg * 7.57 UAH/kg) - 1804 UAH] / 180 kg

Calculating the value of x:

x = (3028 UAH - 1804 UAH) / 180 kg

x = 1224 UAH / 180 kg

x ≈ 6.80 UAH/kg

Therefore, the price per kilogram for apples of the second sort is approximately 6.80 UAH.