Question

театре билеты продаются по 40 и 30 рублей . всего в театре 12 рядов по 25 мест общая сумма составляет 10 000 рублей. сколько продано билетов по 40 рублей?

Answer 1

Надо 12 *25=290 потом 290*30 и 40

Answer 2

Пусть х -количество билетов по 30 руб,
общее количество мест в театре 12*25=300 мест
тогда количество билетов по 40 руб = 300-х
30х+40(300-х)=10 000
30х+12 000 - 40х=10 000
10х=2 000
х=200 - билетов по 30 руб
300-200=100 - билетов по 40 руб

Answer 3

Calculation of the Number of Tickets Sold at Different Prices

To calculate the number of tickets sold at 40 rubles, we need to consider the total revenue generated from ticket sales and the prices of the tickets.

According to the information provided, the theater sells tickets at two different prices: 40 rubles and 30 rubles. The total revenue from ticket sales is 10,000 rubles.

Let's assume that x represents the number of tickets sold at 40 rubles, and y represents the number of tickets sold at 30 rubles.

The equation to calculate the total revenue is as follows:

40x + 30y = 10,000

We also know that the theater has 12 rows with 25 seats in each row, which gives a total of 12 * 25 = 300 seats.

Since the total number of tickets sold cannot exceed the total number of seats available, we can set up another equation:

x + y ≤ 300

Now we have a system of equations:

40x + 30y = 10,000 x + y ≤ 300

To find the number of tickets sold at 40 rubles, we can solve this system of equations.

Let's solve the system using the substitution method:

From the second equation, we can express y in terms of x:

y = 300 - x

Substituting this value of y into the first equation:

40x + 30(300 - x) = 10,000

Simplifying the equation:

40x + 9000 - 30x = 10,000 10x = 1,000 x = 100

Therefore, the number of tickets sold at 40 rubles is 100.

To verify this result, we can substitute the value of x back into the equation for y:

y = 300 - x y = 300 - 100 y = 200

Therefore, the number of tickets sold at 30 rubles is 200.

So, the theater sold 100 tickets at 40 rubles and 200 tickets at 30 rubles.

Please note that the information provided does not specify whether all the seats were sold or if there were any unsold tickets.