Question

В кассе кинотеатра за первый час продали билетов на 540 000р., а за второй час - на 260 000р . Сколько билетов было продано за второй час, если за 2 ч было продано 40 билетов и цена билетов была одинаковой?

Answer 1

540000+260000=800000 руб - продали на эту сумму билетов за 2 часа. 800000:40=20000 руб стоит один билет. 260000:20000=13 билетов было продано за второй час.

Answer 2

Problem Analysis

We are given the information that in the first hour, tickets worth 540,000 rubles were sold, and in the second hour, tickets worth 260,000 rubles were sold. We are also told that a total of 40 tickets were sold in 2 hours, and the ticket price was the same for both hours. We need to determine how many tickets were sold in the second hour.

Solution

Let's assume the ticket price for both hours is x rubles. We can set up the following equation based on the given information:

x * number of tickets sold in the first hour + x * number of tickets sold in the second hour = total ticket sales in the first hour + total ticket sales in the second hour

Simplifying the equation, we get:

x * number of tickets sold in the first hour + x * number of tickets sold in the second hour = 540,000 + 260,000

Since the total number of tickets sold in 2 hours is 40, we can write:

number of tickets sold in the first hour + number of tickets sold in the second hour = 40

We can solve these two equations simultaneously to find the number of tickets sold in the second hour.

Calculation

Let's solve the equations:

Equation 1: x * number of tickets sold in the first hour + x * number of tickets sold in the second hour = 540,000 + 260,000

Equation 2: number of tickets sold in the first hour + number of tickets sold in the second hour = 40

From Equation 2, we can express the number of tickets sold in the first hour in terms of the number of tickets sold in the second hour:

number of tickets sold in the first hour = 40 - number of tickets sold in the second hour

Substituting this expression into Equation 1, we get:

x * (40 - number of tickets sold in the second hour) + x * number of tickets sold in the second hour = 540,000 + 260,000

Simplifying the equation, we have:

40x - x * number of tickets sold in the second hour + x * number of tickets sold in the second hour = 800,000

The x terms cancel out, and we are left with:

40x = 800,000

Dividing both sides by 40, we find:

x = 20,000

Now, we can substitute the value of x into Equation 2 to find the number of tickets sold in the second hour:

number of tickets sold in the first hour + number of tickets sold in the second hour = 40

40 - number of tickets sold in the second hour + number of tickets sold in the second hour = 40

Simplifying the equation, we get:

40 = 40

This equation is true for any value of the number of tickets sold in the second hour. Therefore, we cannot determine the exact number of tickets sold in the second hour based on the given information.

Answer

Based on the given information, we cannot determine the exact number of tickets sold in the second hour.