Question

Для учащихся было куплено 70 билетов в кукольный театр. в партет было куплено билетов в. 1,5 раз больше чем на балкон и бельэтаж вместе. число билетов на балкон составило 0.4 от числа билетов на бельэтаж . сколько билетов каждого вида было проданно

Answer 1

Х- куплено билетов на бельэтаж
0,4х- куплено билетов на балкон
(х+0,4х)*1,5-куплено билетов в партер
А т.к известно, что всего куплено 70 билетов составляем уравнение:
х+0,4х+((х+0,4х)*1,5)=70
х+0,4х+1,5х+0,6х=70
3,5х=70
х=70/3,5
х=20 билетов на бельэтаж
20*0,4=8 билетов на балкон
(20+8)*1,5=42 билета в партер

Answer 2

Problem Analysis

We are given that 70 tickets were purchased for a puppet theater. The number of tickets for the parterre is 1.5 times greater than the combined number of tickets for the balcony and the mezzanine. The number of tickets for the balcony is 0.4 times the number of tickets for the mezzanine. We need to determine how many tickets were sold for each type.

Solution

Let's assume the number of tickets for the mezzanine is x.

According to the given information: - The number of tickets for the parterre is 1.5 times greater than the combined number of tickets for the balcony and the mezzanine. Therefore, the number of tickets for the parterre is 1.5 * (x + 0.4x). - The number of tickets for the balcony is 0.4 times the number of tickets for the mezzanine. Therefore, the number of tickets for the balcony is 0.4x.

We know that the total number of tickets purchased is 70. Therefore, we can write the equation:

x + 0.4x + 1.5 * (x + 0.4x) = 70

Simplifying the equation: x + 0.4x + 1.5x + 0.6x = 70 3.5x = 70 x = 20

Therefore, the number of tickets for the mezzanine is 20.

Now, we can calculate the number of tickets for the balcony and the parterre: - Number of tickets for the balcony: 0.4 * 20 = 8 - Number of tickets for the parterre: 1.5 * (20 + 0.4 * 20) = 1.5 * (20 + 8) = 1.5 * 28 = 42

So, there were 20 tickets sold for the mezzanine, 8 tickets sold for the balcony, and 42 tickets sold for the parterre.

Answer

The number of tickets sold for each type is as follows: - Mezzanine: 20 tickets - Balcony: 8 tickets - Parterre: 42 tickets