Question

Цена билета на стадион было 150 руб. после снижения цены билета Количество посетителей увеличилось на 50 %, а сбор увеличился на 25 %. На сколько снизили цену билета?

Answer 1

Составим уравнение
(150 - a) * 1.5x = 150 * x * 1.25
, где x - количество посетителей, a - на сколько уменьшили цену

Решим уравнение
225x - 1.5ax = 187.5x | /x
225-1.5a=187.5
225-187.5=1.55a
37.5=1.55a
a=37.5/1.5
a=25

Ответ: на 25 руб.

Answer 2

Calculation of the Ticket Price Reduction

To determine the amount by which the ticket price was reduced, we can use the given information that the original ticket price was 150 rubles and after the price reduction, the number of visitors increased by 50% and the revenue increased by 25%.

Let's calculate the new number of visitors and the new revenue to find the ticket price reduction.

1. Increase in the number of visitors: - The number of visitors increased by 50%. - This means the new number of visitors is 150% of the original number of visitors. - Let's calculate the new number of visitors: 150% x Original Number of Visitors.

2. Increase in revenue: - The revenue increased by 25%. - This means the new revenue is 125% of the original revenue. - Let's calculate the new revenue: 125% x Original Revenue.

Now, let's calculate the new number of visitors and the new revenue:

1. New number of visitors: - 150% x Original Number of Visitors

2. New revenue: - 125% x Original Revenue

Unfortunately, the given information does not provide the original number of visitors or the original revenue, so we cannot calculate the exact ticket price reduction.