Question

Шербет из яблока стоимостью 60 тг за литр в объеме 4 1/3 л смешали с шербетом из груши стоимостью 90 г за литр вобъеме 5 2/3. Какова стоимость получившейся смеси?​

Answer 1

Ответ:

77

Пошаговое объяснение:

Answer 2

To find the cost of the mixture, we need to calculate the weighted average of the two sherbets based on their volumes and costs per liter.

Let's start by calculating the cost of the apple sherbet. The cost of apple sherbet is 60 tenge per liter, and the volume is 4 1/3 liters. To convert the mixed fraction to an improper fraction, we multiply the whole number (4) by the denominator (3) and add the numerator (1). Then we divide the result by the denominator to get the improper fraction. So, 4 1/3 is equal to (4 * 3 + 1) / 3 = 13/3 liters.

The cost of the apple sherbet is calculated as follows: Cost of apple sherbet = 60 tenge/liter * 13/3 liters = 260 tenge.

Next, let's calculate the cost of the pear sherbet. The cost of pear sherbet is 90 tenge per liter, and the volume is 5 2/3 liters. Using the same process as before, we convert 5 2/3 to an improper fraction: (5 * 3 + 2) / 3 = 17/3 liters.

The cost of the pear sherbet is calculated as follows: Cost of pear sherbet = 90 tenge/liter * 17/3 liters = 510 tenge.

Now, we can find the total cost of the mixture by adding the costs of the apple and pear sherbets: Total cost of the mixture = Cost of apple sherbet + Cost of pear sherbet = 260 tenge + 510 tenge = 770 tenge.

Therefore, the cost of the resulting mixture is 770 tenge.