Question

A movie theater sells tickets to a new show for $8 each. The theater also sells small containers of popcorn for $6 each. The theater needs to make $2558 in order to break even on the show.

Find a linear equation that describes the problem.

An equation for the amount of money earned by the movie theater is
_________ = $2558, where t is the number of tickets sold, and p is the number of popcorn buckets sold.

Answer 1

8t + 6p = 2558

Explanation:

If t tickets are sold for $8 each, the revenue is 8t.

If p popcorns are sold for $6 each, the revenue is 6p.

The total revenue from sale of t tickets and p popcorns is ...

8t +6p

and we want that to be equal to the required revenue, 2558:

8t +6p = 2558