Question

Винни-Пух разлил 60 л меда в 9 горшочков двух видов вместимостью 4 и 8 л. Сколько горшочков каждого вида занял Винни-Пух?Решите задачу,заполнив таблицу.4-литровые горшочки 8-литровые горшочки всего мёда

Answer 1

X+y=9                 (1)     --->  y=9-x
4*x+8*y=60        (2)
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из (1) y  подставляем в (2)
4x+8(9-x) = 60
4x+72-8x=60
4x=12
x=3  - количество 4-х литровых
y=9-3=6 - количество 8-ми литровых
  ответ: 3 горшка по 4 литра
             6 горшков по 8 литров

Answer 2

To solve this problem, let's create a table to keep track of the honey distribution:

| Type of Pot | Capacity (liters) | Number of Pots | Total Honey (liters) | |-------------|-------------------|----------------|----------------------| | 4-liter | 4 | x | 4x | | 8-liter | 8 | y | 8y | | Total | | | 60 |

We know that the total amount of honey spilled by Winnie the Pooh is 60 liters. Let's use this information to solve the problem.

Solving the Problem

We have two equations based on the information given:

1. The total number of pots: x + y = 9 (since there are 9 pots in total). 2. The total amount of honey: 4x + 8y = 60.

We can solve this system of equations to find the values of x and y.

Multiplying the first equation by 4, we get:

4x + 4y = 36.

Subtracting this equation from the second equation, we have:

4x + 8y - (4x + 4y) = 60 - 36, 4x + 8y - 4x - 4y = 24, 4y = 24, y = 6.

Substituting the value of y into the first equation, we find:

x + 6 = 9, x = 9 - 6, x = 3.

Therefore, Winnie the Pooh filled 3 pots of the 4-liter type and 6 pots of the 8-liter type.

Answer

Winnie the Pooh filled 3 pots of the 4-liter type and 6 pots of the 8-liter type.