Answer:
80 senior tickets
Explanation:
Solve as a set of simultaneous equations
Let X be the number of adult tickets sold
Let Y be the number of senior tickets sold
Since total number of tickets sold = 190,
X + Y = 190 (1)
Total cost of A adult tickets = 15 x X = 15X
Total cost of S senior tickets = 12 x Y = 12Y
We know the total cost to be $2610, so
15X + 12Y = 2610 (2)
Multiply (1) by 15 to get
15X + 15Y = 15 x 190 = 2850 (3)
Subtract (2) from (3)
(3) - (2) gives
15X + 15Y - (15X + 12Y) = 2850 - 2610
15X + 15Y - 15X - 12Y = 240
Simplify
15Y - 12Y = 240
3Y = 240
Y = 240/3 = 80
Since Y represents the number of senior tickets, answer = 80 senior tickets