Question

В одном зале кинотеатре в 2 раза больше зрителей, чем в другом. Если из первого зала уйдут 37 человек, а во второй придут 50, то зрителей в обоих залах будет поровну. Сколько зрителей в каждом зале?

Answer 1

x - количество людей в 2 зале

2x - количество людей во 1 зале

 

2x - 37 = x + 50

x = 87 (человек) - людей во 2 зале

2 * 87 = 174 (человека) - людей в 1 зале

 

Ответ: в 1 зале - 174 человека, во 2 зале - 87 человек.

Answer 2

Calculating the Number of Viewers in Each Theater

To solve this problem, we can set up a system of equations based on the given information.

Let's assume: - The number of viewers in the first theater is represented by x. - The number of viewers in the second theater is represented by y.

According to the given information: 1. In one theater, there are twice as many viewers as in the other theater. 2. If 37 people leave the first theater and 50 people enter the second theater, the number of viewers in both theaters will be equal.

Setting Up the Equations

Based on the given information, we can set up the following equations:

1. x = 2y (Twice as many viewers in one theater as in the other) 2. (x - 37) = (y + 50) (After the changes, the number of viewers in both theaters is equal)

Solving the Equations

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

Substituting the value of x from the first equation into the second equation: (2y - 37) = (y + 50)

Solving for y: 2y - 37 = y + 50 2y - y = 50 + 37 y = 87

Substituting the value of y back into the first equation to find x: x = 2y x = 2 * 87 x = 174

Conclusion

After solving the equations, we find that there are 174 viewers in the first theater and 87 viewers in the second theater.