Question

A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets and made a total of $158.50 . How many children's tickets and how many adult tickets were sold?

Answer 1

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

Explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of adult tickets sold

we know that

the theater sold 33 tickets

so

`x+y=33` -----> equation A

the theater made a total of $158.50

so

`4.50x+9.50y=158.50` ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The number of children's tickets sold was 31 and the number of adult tickets sold was 2