Question

The principal at Apple Blossom High School decided to take her students on a field trip to the movie theater. A total of 250 people went on the trip. Adults paid $4.50 for a ticket and students paid $2.50 for a ticket. How many students and how many adults went to the movies if they paid a total of $805 at the movie theater?

Answer 1

the answer is 90 adults , and 160 students

Answer 2

90 adults; 160 students

Explanation:

Let "a" represent the number of adults who went. The number of students can be represented by (250-a). Then the total cost of tickets is ...

4.50a +2.50(250-a) = 805

2a + 625 = 805 . . . . . . simplify

2a = 180 . . . . . . . . . . . . subtract 625

a = 90 . . . . . . . . . . . . . . divide by 2

# of students = 250 -90 = 160

160 students and 90 adults went to the movies.