Question

Чтобы попасть в музей на выставку известного художника, надо отстоять две очереди: сначала в кассу за билетом, а потом на вход. Касса начинает работу раньше музея. В момент открытия музея в обеих очередях вместе стояли 4000 человек. Через час 500 человек купили билеты и встали в очередь на вход, в музей пустили 300 человек, и ещё 500 человек пришли в очередь за билетами. В результате очередь за билетами стала в два раза больше, чем очередь на вход. Сколько человек стояло в очереди на вход в момент открытия музея?

Answer 1

Я прошел эту задачу уже) в ответе получается 1200. сам не понял, если честно)надеюсь, тебе поможет это)

Answer 2

Calculating the Number of People in the Queue at Museum Opening

To calculate the number of people in the queue at the museum's opening, we can follow the given information and perform the necessary calculations.

Given Information: - At the museum's opening, there were 4000 people in both queues combined. - After an hour, 500 people bought tickets and joined the queue to enter the museum. - 300 people were allowed to enter the museum. - 500 more people joined the ticket queue, making it twice as long as the entrance queue.

Calculations:

1. Initial Total Queue Size: - At the museum's opening, the total queue size was 4000 people.

2. After an Hour: - 500 people bought tickets and joined the entrance queue. - 300 people were allowed to enter the museum. - 500 more people joined the ticket queue, making it twice as long as the entrance queue.

3. Calculating the Final Queue Sizes: - Let's assume the initial size of the entrance queue was "x". - The initial size of the ticket queue was twice the size of the entrance queue, so it was "2x". - After 500 people bought tickets and joined the entrance queue, the total number of people in the entrance queue became "x + 500". - The number of people in the ticket queue remained the same at "2x".

4. Equating the Ticket and Entrance Queue Sizes: - As per the given information, the ticket queue became twice the size of the entrance queue after 500 more people joined it. - So, we can equate the ticket and entrance queue sizes: - 2x = x + 500 - Solving for x: - x = 500

Conclusion:

At the museum's opening, the number of people in the entrance queue was 500.