Question

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?

Answer 1

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,

`7(4)+3x=64`

`28+3x=64`

`3x=64-28`

`3x=36`

Divide both sides by 3.

`x=12`

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