Вопрос задан 27.04.2019 в 22:07. Предмет Алгебра. Спрашивает Джо Кристина.

Помогите пожалуйста .В двух залах кинотеатра 534 места.В одном зале 12 одинаковых рядов ,а в другом

15 одинаковых рядов .В каждом ряду первого зала на 4 места больше ,чем в каждом ряду второго.Сколько мест в каждом зале кинотеатра.
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Отвечает Рожнова Дарья.
1)12 x 4 =48 
2)12+15 =27
3)534 -48=486 
4)486 : 27 = 18 
5)12 x 4 x 18 = 264
6)534-264
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

We are given a cinema with two halls. The first hall has 12 identical rows, and the second hall has 15 identical rows. In each row of the first hall, there are 4 more seats than in each row of the second hall. We need to find the number of seats in each hall.

Solution

Let's assume that the number of seats in each row of the second hall is x. Then, the number of seats in each row of the first hall would be x + 4.

To find the total number of seats in each hall, we need to multiply the number of rows by the number of seats in each row.

For the first hall: - Number of rows = 12 - Number of seats in each row = x + 4

For the second hall: - Number of rows = 15 - Number of seats in each row = x

To find the total number of seats in each hall, we multiply the number of rows by the number of seats in each row.

Let's calculate the number of seats in each hall.

Calculation

For the first hall: - Number of rows = 12 - Number of seats in each row = x + 4 - Total number of seats in the first hall = 12 * (x + 4) = 12x + 48

For the second hall: - Number of rows = 15 - Number of seats in each row = x - Total number of seats in the second hall = 15 * x = 15x

So, the total number of seats in each hall is given by the equations: - Total number of seats in the first hall = 12x + 48 - Total number of seats in the second hall = 15x

We need to find the values of x and the total number of seats in each hall.

Solution Steps

1. Set up the equations: - Total number of seats in the first hall = 12x + 48 - Total number of seats in the second hall = 15x 2. Solve the equations to find the value of x. 3. Substitute the value of x into the equations to find the total number of seats in each hall.

Let's solve the equations to find the number of seats in each hall.

Solution

To find the number of seats in each hall, we need to solve the equations: - Total number of seats in the first hall = 12x + 48 - Total number of seats in the second hall = 15x

Let's solve these equations.

Equation 1: Total number of seats in the first hall = 12x + 48 Equation 2: Total number of seats in the second hall = 15x

We can set up the following equation by equating the two expressions for the total number of seats:

12x + 48 = 15x

To solve for x, we can subtract 12x from both sides of the equation:

48 = 15x - 12x

48 = 3x

Dividing both sides of the equation by 3, we get:

x = 16

Now that we have found the value of x, we can substitute it back into the equations to find the total number of seats in each hall.

For the first hall: Total number of seats in the first hall = 12x + 48 = 12 * 16 + 48 = 192 + 48 = 240

For the second hall: Total number of seats in the second hall = 15x = 15 * 16 = 240

Therefore, there are 240 seats in each hall of the cinema.

Answer

There are 240 seats in each hall of the cinema.

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