A movie theater has 400 seats. Tickets at the theater cost 8 dollars for students, 10 dollars for adults, and 7 dollars for senior citizens. On a night when all the seats were sold, the theater made 3 dollars comma 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?

Let the combined number of student and senior tickets be x. There were x + 10 adult tickets, and all 400 seats were sold, so 2x + 10 = 400, giving x = 195 and 205 adult tickets? Correction: x + (x - 10) = 400, so x = 205 and there were 195 adult tickets. The adults brought in 195 × $10 = $1,950, leaving $1,585 from student and senior tickets. If all 205 were student tickets, they would bring in $1,640; each senior ticket earns $1 less, so $55 less revenue means 55 senior tickets. The correct choice is 55 senior tickets.

AI-written and checked against the verified answer.