Question

Цена 1 кг кофе 600 рублей., 5 килограмм кофе стоит столько же, сколько 10 килограмм чая. Какова цена одного килограмма чая? Решите задачу двумя способами.

Answer 1

Если 1 кг кофе = 600 рублей, то 5 кг = 3000 рублей
Получается 10 кг чая = 3000 рублей
Следовательно 1 кг чая = 3000/10 = 300 рублей

Answer 2

1.
600*5=3000руб стоит 5 кг кофе и 10кг чая
3000:10=300руб стоит 1 кг чая

2.
600*5:10=300руб 1 кг чая

Answer 3

Task: Calculating the price of one kilogram of tea

To solve this problem, we need to compare the price of 5 kilograms of coffee to the price of 10 kilograms of tea and find the price of one kilogram of tea.

Let's solve this problem using two different methods.

Method 1: Direct Comparison

Given that 5 kilograms of coffee costs 600 rubles, we can calculate the price of one kilogram of coffee by dividing the total cost by the number of kilograms:

Price of one kilogram of coffee = Total cost of 5 kilograms of coffee / 5

Using this information, we can find the price of 10 kilograms of tea:

Total cost of 10 kilograms of tea = Price of one kilogram of coffee * 10

Finally, we can calculate the price of one kilogram of tea by dividing the total cost of 10 kilograms of tea by 10:

Price of one kilogram of tea = Total cost of 10 kilograms of tea / 10

Let's calculate the values step by step:

1. Price of one kilogram of coffee: - Total cost of 5 kilograms of coffee = 600 rubles - Price of one kilogram of coffee = 600 rubles / 5 = 120 rubles.

2. Total cost of 10 kilograms of tea: - Price of one kilogram of coffee = 120 rubles - Total cost of 10 kilograms of tea = Price of one kilogram of coffee * 10 = 120 rubles * 10 = 1200 rubles.

3. Price of one kilogram of tea: - Total cost of 10 kilograms of tea = 1200 rubles - Price of one kilogram of tea = Total cost of 10 kilograms of tea / 10 = 1200 rubles / 10 = 120 rubles.

Therefore, the price of one kilogram of tea is 120 rubles.

Method 2: Proportions

Another way to solve this problem is by setting up a proportion between the price of coffee and the price of tea.

Let's assume that the price of one kilogram of tea is x rubles.

Using the given information, we can set up the following proportion:

5 kilograms of coffee / 600 rubles = 10 kilograms of tea / x rubles

To solve for x, we can cross-multiply and solve the equation:

5 * x = 600 * 10

Simplifying the equation:

5x = 6000

Dividing both sides by 5:

x = 6000 / 5

Simplifying further:

x = 1200 / 5

Finally:

x = 120

Therefore, the price of one kilogram of tea is 120 rubles.

Both methods yield the same result: the price of one kilogram of tea is 120 rubles.