Question

В магазине продали 24л яблочного сока и 40л томатного сока в пакетах одинаковой вместимости . Томатного сока продали на 8 пакетов больше чем яблочного .Сколько пакетов яблочного сока и томатного сока.

Answer 1

Яблочный сок:12 томатный:20

Answer 2

Problem Analysis

In the given problem, we are told that 24 liters of apple juice and 40 liters of tomato juice were sold in packages of the same capacity. It is also mentioned that the number of packages of tomato juice sold was 8 more than the number of packages of apple juice sold. We need to determine the number of packages of apple juice and tomato juice.

Solution

Let's assume the number of packages of apple juice sold is x. Since the number of packages of tomato juice sold is 8 more than the number of packages of apple juice sold, the number of packages of tomato juice sold can be represented as x + 8.

We are given that the total volume of apple juice sold is 24 liters and the total volume of tomato juice sold is 40 liters. Since the packages have the same capacity, we can set up the following equation:

x * capacity = 24 (equation 1) (x + 8) * capacity = 40 (equation 2)

To solve this system of equations, we need to find the value of x and the capacity of each package.

Solving the System of Equations

Let's solve the system of equations using the given information.

From equation 1, we have: x * capacity = 24

From equation 2, we have: (x + 8) * capacity = 40

We can rewrite equation 2 as: x * capacity + 8 * capacity = 40

Substituting the value of x * capacity from equation 1, we get: 24 + 8 * capacity = 40

Simplifying the equation, we have: 8 * capacity = 40 - 24 8 * capacity = 16 capacity = 16 / 8 capacity = 2

Now that we have the value of the capacity, we can substitute it back into equation 1 to find the value of x: x * 2 = 24 x = 24 / 2 x = 12

Therefore, the number of packages of apple juice sold is 12 and the number of packages of tomato juice sold is 12 + 8 = 20.

Answer

The number of packages of apple juice sold is 12 and the number of packages of tomato juice sold is 20.