Question

В театре билеты продаются по цене 300 руб. и 400 руб. Всего в театре 12 рядов по 25 мест в каждом ряду. общая стоимость всех билетов равна 100000 рублей. Сколько билетов продается по 400 рублей?

Answer 1

Может двумя вариантами - 30х12х25 =9000 рублей
или 40х12х25=12000рублей .
Если прибыль была больше на 1000 рублей, значит 100 билетов были дороже, а если прибыль меньше на 2000 рублей, значит 200 билетов были дешевле на 10 рублей

Answer 2

Calculating the Number of Tickets Sold at 400 Rubles

To calculate the number of tickets sold at 400 rubles, we can use the given information about the total revenue and the price of the tickets.

The total revenue from ticket sales is 100,000 rubles. Let's denote the number of tickets sold at 300 rubles as x and the number of tickets sold at 400 rubles as y.

The total revenue can be expressed as the sum of the products of the number of tickets sold at each price and the respective price: Total revenue = 300 * x + 400 * y

Given that the total revenue is 100,000 rubles, we have the equation: 300x + 400y = 100,000

We also know that the total number of tickets sold is equal to the total number of seats in the theater: 12 rows * 25 seats/row = 300 seats

So, the total number of tickets sold is 300.

We can use these two equations to solve for the number of tickets sold at 400 rubles.

Solving for the Number of Tickets Sold at 400 Rubles

We have the following system of equations: 300x + 400y = 100,000 x + y = 300

We can solve this system of equations to find the value of y, which represents the number of tickets sold at 400 rubles.

Let's solve for y using the given equations.

First, we can solve the equation x + y = 300 for x: x = 300 - y

Substitute x = 300 - y into the equation 300x + 400y = 100,000: 300(300 - y) + 400y = 100,000 90,000 - 300y + 400y = 100,000 100y = 10,000 y = 100

Conclusion

The number of tickets sold at 400 rubles is 100.