Question

За час до киносеанса остались непроданными 30% всех билетов. Но через полчаса к кинотеатру подъехала группа туристов и купила 45 билетов, что составило 20% билетов, оставшихся в кассе. Сколько всего мест в кинотеатре? Люди добрые помогите решить задачу. Спасибо заранее вам!

Answer 1

                               Решение:
45 билетов это 1/5 от не проданных  
Делаем пропорцию
45 1/5
х 1
х=225 (не проданные)
225 не проданных это 3/10 от всего количества. Делаем пропорцию
225 3/10
х 1

х=750
Ответ: в кинотеатре 750 мест.

Для пояснения : (/)- значит дробь, то есть три десятых.

Answer 2

20% от оставшихся 30% = 1/5 от 3/10= 3/50

3/50=45 местам

Всего мест  = 45*50:3=750

Как-то так

Answer 3

Problem Analysis

To solve this problem, we need to determine the total number of seats in the cinema theater. We are given that 30% of all tickets remained unsold one hour before the screening. Then, 45 tickets were sold, which accounted for 20% of the remaining tickets. We can use this information to calculate the total number of seats in the theater.

Solution

Let's assume the total number of seats in the cinema theater is x.

According to the problem, 30% of all tickets remained unsold one hour before the screening. This means that 70% of the tickets were sold. Therefore, the number of tickets sold one hour before the screening is 70% of x.

After that, a group of tourists arrived and bought 45 tickets, which accounted for 20% of the remaining tickets. This means that 80% of the remaining tickets were unsold. Therefore, the number of unsold tickets after the tourists arrived is 80% of the tickets that were unsold one hour before the screening.

We can set up the following equation to represent the given information:

0.8 * (0.7 * x) = 45

Let's solve this equation to find the value of x.

0.8 * 0.7 * x = 45

0.56 * x = 45

x = 45 / 0.56

x ≈ 80.357

Therefore, the total number of seats in the cinema theater is approximately 80.

Answer

The total number of seats in the cinema theater is approximately 80.