Question

a movie theater sold 155 adult tickets and 230 children tickets to a movie in total the theater made 1285.50 in ticket sales mrs Ramirez paid 53.75 for 2 adult tickets and 3 children tickets which system of equation can be used to find the cost of an adult ticket a?so the tutor helped me with this but i just dont know the actual equation i dont know which on it is so if you can help me only finding the equation pls.

Answer 1

Given:

Number of adults = 155

Number of children = 230

Amount made = 1285.50

Mrs. Ramirez paid 53.75 for 2 adult tickets and 3 children tickets.

Let's find the system of equations that can be used to find the cost of an adult ticket a.

Let "a" represent the cost of an adult ticket

Let "c" represent the cost of each child's ticket.

We have the system of equations:

155a + 230c = 1285.50 ...........................equation 1

2a + 3c = 53.75 ...................................equation 2

Equation 1 represents the number of tickets sold by the movie theater.

Equation 2 represents the tickets bought by Mrs. Ramirez.

Therefore, the system of equations that can be used to find the cost of an adult ticket is:

155a + 230c = 1285.50

2a + 3c = 53.75

ANSWER:

155a + 230c = 1285.50

2a + 3c = 53.75