Question

в одном зале кинотеатра в 2 раза больше зрителей чем вдругом Если из первого зала уйдут 37 человек а во второй прийдут 50 то зрителей в обеих залах будет поровну Сколько зрителей в каждом зале?

Answer 1

Problem Analysis

We are given that there are twice as many spectators in one cinema hall as in another. If 37 people leave the first hall and 50 people enter the second hall, the number of spectators in both halls will be equal. We need to find the number of spectators in each hall.

Solution

Let's assume the number of spectators in the first hall is x. According to the given information, the number of spectators in the second hall is twice that of the first hall, so the number of spectators in the second hall is 2x.

If 37 people leave the first hall, the number of spectators in the first hall becomes x - 37. If 50 people enter the second hall, the number of spectators in the second hall becomes 2x + 50.

According to the problem, the number of spectators in both halls will be equal after these changes. Therefore, we can set up the following equation:

x - 37 = 2x + 50

Now, let's solve this equation to find the value of x.

Solving the Equation

To solve the equation x - 37 = 2x + 50, we can start by isolating x on one side of the equation.

x - 2x = 50 + 37

Simplifying the equation:

-x = 87

Now, let's solve for x by multiplying both sides of the equation by -1:

x = -87

Since the number of spectators cannot be negative, we can conclude that there is an error in the problem statement or the given information.

Conclusion

Based on the given information, it is not possible to determine the number of spectators in each hall. The equation provided leads to a negative value for the number of spectators, which is not possible in this context.