The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adults paid $64 in all for movie tickets. How much does each adult ticket cost?

Respuesta :

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

[tex]7(4)+3x=64[/tex]

[tex]28+3x=64[/tex]

[tex]3x=64-28[/tex]

[tex]3x=36[/tex]

Divide both sides by 3.

[tex]x=12[/tex]

Therefore, the cost of each adult ticket is $12.