Answer: the number of adult tickets sold is 150
the number of student tickets sold is 210
Step-by-step explanation:
Let x represent the number of adult tickets sold.
Let y represent the number of student tickets sold.
The adult tickets cost $12 each, and the student tickets cost $8 each. The total cost of tickets sold $3,480. This means that
12x + 8y = 3480 - - - - - - - - - -1
The total number of tickets sold is 360. This means that
x + y = 360 - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 12, it becomes
12x + 8y = 3480
12x + 12y = 4320
Subtracting
-4y = -840
y = -840/-4 = 210
Substituting y = 210 into equation 2, it becomes
x = 360 - y = 360 - 210
x = 150
