Question

At the movie theater, the total value of tickets sold was $2,612.50. Adult tickets sold for $10 each and senior/child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?

Answer 1

A) 10 A + 7.5 C = 2,612.50

B) C = (A*2) -25

Substituting B) into A)

10A + 7.5 (2A -25) = 2,612.50

10 A + 15 A -187.50 = 2,612.50

25A = 2800

Adult Tickets = 112

Senior / Child Tickets = (112 *2) -25

=199

DOUBLE - CHECK

10 * 112 + 7.5 * 199 = 2,612.50

Explanation: