Breana is selling tickets to a choral performance. on the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

what is the price of a senior citizen ticket?

The price of 1 senior ticket = $8.

Step-by-step explanation:

Let C be the price of each child ticket and S be the price of each senior citizen ticket.

We have been given that on the first day of ticket sales, Breana sold 3 senior citizen tickets and 1 child ticket. So the price of 3 senior citizens will be 3S and price of 1 child ticket will be C.

As she got $38 from selling tickets on 1st day, so we can represent this information in an equation as:

We are also told that on the second day Breana sold 3 senior citizen tickets and 2 child tickets. So the price of 3 senior citizens will be 3S and price of 2 child ticket will be 2C.

As she got $52 from selling tickets on 2nd day, so we can represent this information in an equation as:

To solve the price of each citizen ticket we will use substitution method to solve system of equations.

From equation (1) we will get,

Substituting this value in equation (2) we will get,

Let us subtract 76 from both sides of our equation.

Upon dividing both sides of our equation by -3 we will get,

Therefore, the price of a senior ticket is $8.