Question

A particular movie theater charges $9.00 per adult and $2.50 per child. Suppose 400 people attended a

movie and the total revenue from ticket sales was $2300.
Write linear equations for the two constraints, where a represents the number of adults attending the
movie and y represents the number of children attending the movie.

Answer 1

`x + y = 400 \\ 9x + 2.50y = 2300`

Explanation:

Since X and Y represent the total number of adults and total number of children respectively,

total number of people attended the movie

`x + y = 400 \\`

price for the ticket for adult is $9 and x adults are attending movie so total sale for adults is 9x

The price for the ticket for child is $2.50 and y children are attending the movie so total sale for children is 2.50y

which is total 2300.

So

`x + y = 400 \\ 9x + 2.50y = 2300|`