Question

A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?

55 senior tickets
150 senior tickets
195 senior tickets
255 senior tickets

Answer 1

55 senior tickets

Explanation:

400 seats

students: $8

Adults: $10

Seniors: $7

All seats were sold and the total money they got was $3,535

Adult tickets sold was 10 less than the # of student and seniors combined.

8a+10b+7c=3535

a+b+c=400 now just solve for them

8a+10b+7c=3535

-8a-8b-8c=-3200

2b-c=335...

If you solve for the numbers, you'll get 55 tickets.