Question

В двух театральных кассах было 705 билетов,Когда из первой кассы продали 267 билетов,в ней осталось 123 билета. Сколько билетов было в каждой кассе сначала?

Answer 1

123+267=390-было в первой кассе
705-390=315-было во второй кассе

Answer 2

Две кассы - 705билетов
1 касса - 123+267 = 390билетов
2 касса - 705 - 390 =  315билетов
Вроде так.

Answer 3

Problem Analysis

We are given that there were a total of 705 tickets in two theater ticket offices. After selling 267 tickets from the first ticket office, there were 123 tickets left. We need to determine the initial number of tickets in each ticket office.

Solution

Let's assume the number of tickets in the first ticket office is x and the number of tickets in the second ticket office is y.

According to the given information, we have the following equations:

1. The total number of tickets is 705: x + y = 705. 2. After selling 267 tickets from the first ticket office, there were 123 tickets left: x - 267 = 123.

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the equations using the substitution method.

From equation 2, we can express x in terms of y:

x = 123 + 267

Substituting this value of x into equation 1, we get:

(123 + 267) + y = 705

Simplifying the equation:

390 + y = 705

Subtracting 390 from both sides:

y = 705 - 390

Simplifying further:

y = 315

Now, substituting the value of y back into equation 1, we get:

x + 315 = 705

Subtracting 315 from both sides:

x = 705 - 315

Simplifying further:

x = 390

Answer

Therefore, there were initially 390 tickets in the first ticket office and 315 tickets in the second ticket office.