Question

Помогите решить задачу с помощью уравнения. Купили 165 билетов в театр и цирк, причем билетов в театр в 2раза больше чем в цирк. Сколько купили театральных билетов и сколько билетов в цирк.

Answer 1

Problem Analysis

To solve this problem, we can use algebraic equations. Let's assume the number of circus tickets is represented by 'x'. According to the problem statement, the number of theater tickets is twice the number of circus tickets. So, the number of theater tickets can be represented as '2x'. We are given that a total of 165 tickets were purchased, so we can set up the following equation:

x + 2x = 165

Now, let's solve this equation to find the values of 'x' and '2x', which represent the number of circus tickets and theater tickets, respectively.

Solution

To solve the equation x + 2x = 165, we can combine like terms:

3x = 165

Next, we can isolate 'x' by dividing both sides of the equation by 3:

x = 165 / 3

Simplifying the right side of the equation:

x = 55

So, the number of circus tickets, represented by 'x', is 55. Since the number of theater tickets is twice the number of circus tickets, the number of theater tickets is:

2x = 2 * 55 = 110

Therefore, 55 theater tickets and 110 circus tickets were purchased.

Answer

The number of theater tickets purchased is 110, and the number of circus tickets purchased is 55.