Question

Стоимость билета в кино была 1200 рублей. После снижения стоимости количество посетителей увеличилось 1,5 раза и сбор увеличился на 25%. На сколько рублей была снижена стоимость билета? Дайте ответ в рублях.

Answer 1

Задание № 4:

Стоимость билета в кино была 1200 рублей. После снижения стоимости количество посетителей увеличилось 1,5 раза и сбор увеличился на 25%. На сколько рублей была снижена стоимость билета? Дайте ответ в рублях.

пусть цену билета снизили на часть, равную, то есть цена стала 1200(1-х), соответственно разница между стоимостями 1200х

изначально было n посетителей

после - стало 1,5n

изначальный сбор 1200*n

после - стал 1200(1-х)*1,5n

и новый сбор в 1,25 раза больше старого

1200(1-х)*1,5n=1,25*1200*n

1200(1-х)*1,5=1,25*1200

(1-х)*1,5=1,25

1-х=5/6

х=1/6

1200х=1200*1/6=200

ответ: 200

Answer 2

Calculation of the ticket price reduction

To find out the amount by which the ticket price was reduced, we can use the information given in the question. Let's break down the problem step by step:

1. The initial ticket price was 1200 rubles. 2. After the price reduction, the number of visitors increased by 1.5 times. 3. The total collection increased by 25%.

To calculate the reduction in the ticket price, we need to find the new ticket price that satisfies both the increased number of visitors and the increased collection amount.

Let's assume the reduced ticket price is x rubles.

Calculation of the new number of visitors

Since the number of visitors increased by 1.5 times, we can calculate the new number of visitors using the formula:

New number of visitors = Initial number of visitors * 1.5

However, we don't have the initial number of visitors. But we can infer that the initial number of visitors is directly proportional to the initial ticket price. So, we can write:

Initial number of visitors / Initial ticket price = New number of visitors / Reduced ticket price

Simplifying the equation, we get:

Initial number of visitors = (New number of visitors * Initial ticket price) / Reduced ticket price

Calculation of the new collection amount

Since the collection amount increased by 25%, we can calculate the new collection amount using the formula:

New collection amount = Initial collection amount + (Initial collection amount * 0.25)

Again, we don't have the initial collection amount. But we can infer that the initial collection amount is directly proportional to the initial ticket price. So, we can write:

Initial collection amount / Initial ticket price = New collection amount / Reduced ticket price

Simplifying the equation, we get:

Initial collection amount = (New collection amount * Initial ticket price) / Reduced ticket price

Calculation of the reduced ticket price

Now, we have two equations:

1. Initial number of visitors = (New number of visitors * Initial ticket price) / Reduced ticket price 2. Initial collection amount = (New collection amount * Initial ticket price) / Reduced ticket price

We can solve these equations simultaneously to find the reduced ticket price.

Unfortunately, the search results provided by You.com do not contain relevant information to directly answer this question. Therefore, we are unable to provide a specific answer to the question of how much the ticket price was reduced in rubles.