Question

СРОЧНОООООО!!!!!! Цена билета на стадион составляет 200 гривен. После снижения цены на билет, количество зрителей на стадионе увеличилось на 50%, а выручка с проданных билетов увеличилось на 14% . Сколько стал стоить билет после снижения цены.

Answer 1

Х - число зрителей, у - на сколько снизили цену билета.
Выручка до снижения составляла 200*х. Выручка после снижения составит 200*х+0,14*200*х=228х.
Число зрителей стало х+0,5*х=1,5х. Цена после снижения составит 200-у.
Тогда составляем уравнение:
(200-у) *1,5х=228х
300-1,5у=228
1,5у=72 у=48
На 48 гр. понизили цену билета, поэтому теперь билет стоит 200-48=152гр

Answer 2

Calculation of the New Ticket Price

To calculate the new ticket price after the price reduction, we need to consider the increase in the number of spectators and the increase in revenue from ticket sales.

Let's assume the original ticket price was 200 Ukrainian hryvnias (UAH).

The number of spectators increased by 50%, which means there was a 50% increase in the total number of tickets sold.

The revenue from ticket sales increased by 14%.

To find the new ticket price, we can set up the following equation:

New Ticket Price * New Number of Spectators * New Revenue Percentage = Original Ticket Price * Original Number of Spectators * Original Revenue Percentage

Let's solve for the new ticket price:

New Ticket Price = (Original Ticket Price * Original Number of Spectators * Original Revenue Percentage) / (New Number of Spectators * New Revenue Percentage)

Given: - Original Ticket Price = 200 UAH - Original Number of Spectators = 100% (since we don't have the exact number, we can assume it as 100%) - Original Revenue Percentage = 100% (since we don't have the exact revenue, we can assume it as 100%) - New Number of Spectators = 150% (50% increase from the original) - New Revenue Percentage = 114% (14% increase from the original)

Substituting the values into the equation:

New Ticket Price = (200 UAH * 100% * 100%) / (150% * 114%)

Calculating the result:

New Ticket Price = (200 UAH * 1) / (1.5 * 1.14)

New Ticket Price = 200 UAH / 1.71

New Ticket Price ≈ 116.96 UAH

Therefore, after the price reduction, the new ticket price would be approximately 116.96 Ukrainian hryvnias.

Please note that the above calculation assumes a proportional relationship between the number of spectators, revenue, and ticket price. In reality, there may be other factors that can affect the ticket price and revenue.